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Finding the Fourth Proportional to 542,814.30, 814,221.45 and 293,982.30

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Solution

The fourth proportional to 542,814.30, 814,221.45 and 293,982.30 is: 440,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,814.30 : 814,221.45 = 293,982.30 : x
  2. Step 2: Convert to fraction form
    542,814.30/814,221.45 = 293,982.30/x
  3. Step 3: Cross multiply
    542,814.30x = 814,221.45 × 293,982.30
  4. Step 4: Simplify right side
    542,814.30x = 239,366,694,580.34
  5. Step 5: Solve for x
    x = 239,366,694,580.34/542,814.30
  6. Step 6: Final answer
    x = 440,973.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.