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Finding the Fourth Proportional to 542,784.30, 814,176.45 and 402,816.30

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Solution

The fourth proportional to 542,784.30, 814,176.45 and 402,816.30 is: 604,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,784.30 : 814,176.45 = 402,816.30 : x
  2. Step 2: Convert to fraction form
    542,784.30/814,176.45 = 402,816.30/x
  3. Step 3: Cross multiply
    542,784.30x = 814,176.45 × 402,816.30
  4. Step 4: Simplify right side
    542,784.30x = 327,963,545,136.14
  5. Step 5: Solve for x
    x = 327,963,545,136.14/542,784.30
  6. Step 6: Final answer
    x = 604,224.45

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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.