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Finding the Fourth Proportional to 472,617.20, 708,925.80 and 413,568.20

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Solution

The fourth proportional to 472,617.20, 708,925.80 and 413,568.20 is: 620,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,617.20 : 708,925.80 = 413,568.20 : x
  2. Step 2: Convert to fraction form
    472,617.20/708,925.80 = 413,568.20/x
  3. Step 3: Cross multiply
    472,617.20x = 708,925.80 × 413,568.20
  4. Step 4: Simplify right side
    472,617.20x = 293,189,167,039.56
  5. Step 5: Solve for x
    x = 293,189,167,039.56/472,617.20
  6. Step 6: Final answer
    x = 620,352.30

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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.