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Finding the Fourth Proportional to 542,854.30, 814,281.45 and 402,886.30

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Solution

The fourth proportional to 542,854.30, 814,281.45 and 402,886.30 is: 604,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,854.30 : 814,281.45 = 402,886.30 : x
  2. Step 2: Convert to fraction form
    542,854.30/814,281.45 = 402,886.30/x
  3. Step 3: Cross multiply
    542,854.30x = 814,281.45 × 402,886.30
  4. Step 4: Simplify right side
    542,854.30x = 328,062,840,549.14
  5. Step 5: Solve for x
    x = 328,062,840,549.14/542,854.30
  6. Step 6: Final answer
    x = 604,329.45

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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.