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Finding the Fourth Proportional to 616,287.80, 924,431.70 and 413,334.20

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Solution

The fourth proportional to 616,287.80, 924,431.70 and 413,334.20 is: 620,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,287.80 : 924,431.70 = 413,334.20 : x
  2. Step 2: Convert to fraction form
    616,287.80/924,431.70 = 413,334.20/x
  3. Step 3: Cross multiply
    616,287.80x = 924,431.70 × 413,334.20
  4. Step 4: Simplify right side
    616,287.80x = 382,099,237,174.14
  5. Step 5: Solve for x
    x = 382,099,237,174.14/616,287.80
  6. Step 6: Final answer
    x = 620,001.30

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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.