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Finding the Fourth Proportional to 514,617.30, 710,151.10 and 285,177.92

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Solution

The fourth proportional to 514,617.30, 710,151.10 and 285,177.92 is: 393,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,617.30 : 710,151.10 = 285,177.92 : x
  2. Step 2: Convert to fraction form
    514,617.30/710,151.10 = 285,177.92/x
  3. Step 3: Cross multiply
    514,617.30x = 710,151.10 × 285,177.92
  4. Step 4: Simplify right side
    514,617.30x = 202,519,409,320.01
  5. Step 5: Solve for x
    x = 202,519,409,320.01/514,617.30
  6. Step 6: Final answer
    x = 393,534.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.