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Finding the Fourth Proportional to 542,829.10, 814,243.65 and 402,861.10

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Solution

The fourth proportional to 542,829.10, 814,243.65 and 402,861.10 is: 604,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,829.10 : 814,243.65 = 402,861.10 : x
  2. Step 2: Convert to fraction form
    542,829.10/814,243.65 = 402,861.10/x
  3. Step 3: Cross multiply
    542,829.10x = 814,243.65 × 402,861.10
  4. Step 4: Simplify right side
    542,829.10x = 328,027,092,507.02
  5. Step 5: Solve for x
    x = 328,027,092,507.02/542,829.10
  6. Step 6: Final answer
    x = 604,291.65

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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.