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Finding the Fourth Proportional to 417,863.20, 625,873.20 and 362,567.20

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Solution

The fourth proportional to 417,863.20, 625,873.20 and 362,567.20 is: 543,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,863.20 : 625,873.20 = 362,567.20 : x
  2. Step 2: Convert to fraction form
    417,863.20/625,873.20 = 362,567.20/x
  3. Step 3: Cross multiply
    417,863.20x = 625,873.20 × 362,567.20
  4. Step 4: Simplify right side
    417,863.20x = 226,921,093,679.04
  5. Step 5: Solve for x
    x = 226,921,093,679.04/417,863.20
  6. Step 6: Final answer
    x = 543,051.16

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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.