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Finding the Fourth Proportional to 417,175, 625,555.47 and 132,828.50

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Solution

The fourth proportional to 417,175, 625,555.47 and 132,828.50 is: 199,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,175 : 625,555.47 = 132,828.50 : x
  2. Step 2: Convert to fraction form
    417,175/625,555.47 = 132,828.50/x
  3. Step 3: Cross multiply
    417,175x = 625,555.47 × 132,828.50
  4. Step 4: Simplify right side
    417,175x = 83,091,594,746.90
  5. Step 5: Solve for x
    x = 83,091,594,746.90/417,175
  6. Step 6: Final answer
    x = 199,176.83

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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.