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Finding the Fourth Proportional to 412,308.48, 617,217.66 and 372,884.16

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Solution

The fourth proportional to 412,308.48, 617,217.66 and 372,884.16 is: 558,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,308.48 : 617,217.66 = 372,884.16 : x
  2. Step 2: Convert to fraction form
    412,308.48/617,217.66 = 372,884.16/x
  3. Step 3: Cross multiply
    412,308.48x = 617,217.66 × 372,884.16
  4. Step 4: Simplify right side
    412,308.48x = 230,150,688,686.27
  5. Step 5: Solve for x
    x = 230,150,688,686.27/412,308.48
  6. Step 6: Final answer
    x = 558,200.23

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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.