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Finding the Fourth Proportional to 417,011.83, 625,280.76 and 164,155.39

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Solution

The fourth proportional to 417,011.83, 625,280.76 and 164,155.39 is: 246,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,011.83 : 625,280.76 = 164,155.39 : x
  2. Step 2: Convert to fraction form
    417,011.83/625,280.76 = 164,155.39/x
  3. Step 3: Cross multiply
    417,011.83x = 625,280.76 × 164,155.39
  4. Step 4: Simplify right side
    417,011.83x = 102,643,207,017.30
  5. Step 5: Solve for x
    x = 102,643,207,017.30/417,011.83
  6. Step 6: Final answer
    x = 246,139.80

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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.