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Finding the Fourth Proportional to 616,940.20, 924,827.10 and 364,414.60

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Solution

The fourth proportional to 616,940.20, 924,827.10 and 364,414.60 is: 546,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,940.20 : 924,827.10 = 364,414.60 : x
  2. Step 2: Convert to fraction form
    616,940.20/924,827.10 = 364,414.60/x
  3. Step 3: Cross multiply
    616,940.20x = 924,827.10 × 364,414.60
  4. Step 4: Simplify right side
    616,940.20x = 337,020,497,715.66
  5. Step 5: Solve for x
    x = 337,020,497,715.66/616,940.20
  6. Step 6: Final answer
    x = 546,277.42

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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.