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Finding the Fourth Proportional to 718,496.40, 991,591.38 and 412,612.86

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Solution

The fourth proportional to 718,496.40, 991,591.38 and 412,612.86 is: 569,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,496.40 : 991,591.38 = 412,612.86 : x
  2. Step 2: Convert to fraction form
    718,496.40/991,591.38 = 412,612.86/x
  3. Step 3: Cross multiply
    718,496.40x = 991,591.38 × 412,612.86
  4. Step 4: Simplify right side
    718,496.40x = 409,143,355,253.15
  5. Step 5: Solve for x
    x = 409,143,355,253.15/718,496.40
  6. Step 6: Final answer
    x = 569,443.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.