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Finding the Fourth Proportional to 410,379.89, 614,308.57 and 349,845.55

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Solution

The fourth proportional to 410,379.89, 614,308.57 and 349,845.55 is: 523,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,379.89 : 614,308.57 = 349,845.55 : x
  2. Step 2: Convert to fraction form
    410,379.89/614,308.57 = 349,845.55/x
  3. Step 3: Cross multiply
    410,379.89x = 614,308.57 × 349,845.55
  4. Step 4: Simplify right side
    410,379.89x = 214,913,119,098.86
  5. Step 5: Solve for x
    x = 214,913,119,098.86/410,379.89
  6. Step 6: Final answer
    x = 523,693.11

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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.