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Finding the Fourth Proportional to 542,843.10, 814,264.65 and 402,875.10

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Solution

The fourth proportional to 542,843.10, 814,264.65 and 402,875.10 is: 604,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,843.10 : 814,264.65 = 402,875.10 : x
  2. Step 2: Convert to fraction form
    542,843.10/814,264.65 = 402,875.10/x
  3. Step 3: Cross multiply
    542,843.10x = 814,264.65 × 402,875.10
  4. Step 4: Simplify right side
    542,843.10x = 328,046,952,295.22
  5. Step 5: Solve for x
    x = 328,046,952,295.22/542,843.10
  6. Step 6: Final answer
    x = 604,312.65

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