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Finding the Fourth Proportional to 621,678.60, 932,978.70 and 411,246.60

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Solution

The fourth proportional to 621,678.60, 932,978.70 and 411,246.60 is: 617,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,678.60 : 932,978.70 = 411,246.60 : x
  2. Step 2: Convert to fraction form
    621,678.60/932,978.70 = 411,246.60/x
  3. Step 3: Cross multiply
    621,678.60x = 932,978.70 × 411,246.60
  4. Step 4: Simplify right side
    621,678.60x = 383,684,318,247.42
  5. Step 5: Solve for x
    x = 383,684,318,247.42/621,678.60
  6. Step 6: Final answer
    x = 617,174.72

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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.