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Finding the Fourth Proportional to 616,266.30, 924,399.45 and 284,490.30

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Solution

The fourth proportional to 616,266.30, 924,399.45 and 284,490.30 is: 426,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,266.30 : 924,399.45 = 284,490.30 : x
  2. Step 2: Convert to fraction form
    616,266.30/924,399.45 = 284,490.30/x
  3. Step 3: Cross multiply
    616,266.30x = 924,399.45 × 284,490.30
  4. Step 4: Simplify right side
    616,266.30x = 262,982,676,850.34
  5. Step 5: Solve for x
    x = 262,982,676,850.34/616,266.30
  6. Step 6: Final answer
    x = 426,735.45

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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.