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Finding the Fourth Proportional to 407,432.60, 611,148.90 and 384,104.60

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Solution

The fourth proportional to 407,432.60, 611,148.90 and 384,104.60 is: 576,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,432.60 : 611,148.90 = 384,104.60 : x
  2. Step 2: Convert to fraction form
    407,432.60/611,148.90 = 384,104.60/x
  3. Step 3: Cross multiply
    407,432.60x = 611,148.90 × 384,104.60
  4. Step 4: Simplify right side
    407,432.60x = 234,745,103,774.94
  5. Step 5: Solve for x
    x = 234,745,103,774.94/407,432.60
  6. Step 6: Final answer
    x = 576,156.90

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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.