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Finding the Fourth Proportional to 417,296.46, 625,488.05 and 214,904.82

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Solution

The fourth proportional to 417,296.46, 625,488.05 and 214,904.82 is: 322,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,296.46 : 625,488.05 = 214,904.82 : x
  2. Step 2: Convert to fraction form
    417,296.46/625,488.05 = 214,904.82/x
  3. Step 3: Cross multiply
    417,296.46x = 625,488.05 × 214,904.82
  4. Step 4: Simplify right side
    417,296.46x = 134,420,397,316.64
  5. Step 5: Solve for x
    x = 134,420,397,316.64/417,296.46
  6. Step 6: Final answer
    x = 322,122.07

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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.