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Finding the Fourth Proportional to 616,259.80, 924,389.70 and 413,306.20

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Solution

The fourth proportional to 616,259.80, 924,389.70 and 413,306.20 is: 619,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,259.80 : 924,389.70 = 413,306.20 : x
  2. Step 2: Convert to fraction form
    616,259.80/924,389.70 = 413,306.20/x
  3. Step 3: Cross multiply
    616,259.80x = 924,389.70 × 413,306.20
  4. Step 4: Simplify right side
    616,259.80x = 382,055,994,226.14
  5. Step 5: Solve for x
    x = 382,055,994,226.14/616,259.80
  6. Step 6: Final answer
    x = 619,959.30

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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.