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Finding the Fourth Proportional to 616,218.60, 924,327.90 and 284,442.60

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Solution

The fourth proportional to 616,218.60, 924,327.90 and 284,442.60 is: 426,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,218.60 : 924,327.90 = 284,442.60 : x
  2. Step 2: Convert to fraction form
    616,218.60/924,327.90 = 284,442.60/x
  3. Step 3: Cross multiply
    616,218.60x = 924,327.90 × 284,442.60
  4. Step 4: Simplify right side
    616,218.60x = 262,918,231,128.54
  5. Step 5: Solve for x
    x = 262,918,231,128.54/616,218.60
  6. Step 6: Final answer
    x = 426,663.90

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Why These Related Problems?

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