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Finding the Fourth Proportional to 407,712.60, 611,568.90 and 341,774.55

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Solution

The fourth proportional to 407,712.60, 611,568.90 and 341,774.55 is: 512,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.60 : 611,568.90 = 341,774.55 : x
  2. Step 2: Convert to fraction form
    407,712.60/611,568.90 = 341,774.55/x
  3. Step 3: Cross multiply
    407,712.60x = 611,568.90 × 341,774.55
  4. Step 4: Simplify right side
    407,712.60x = 209,018,685,591.50
  5. Step 5: Solve for x
    x = 209,018,685,591.50/407,712.60
  6. Step 6: Final answer
    x = 512,661.83

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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.