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Finding the Fourth Proportional to 417,473.40, 625,696.80 and 192,521.56

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Solution

The fourth proportional to 417,473.40, 625,696.80 and 192,521.56 is: 288,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,473.40 : 625,696.80 = 192,521.56 : x
  2. Step 2: Convert to fraction form
    417,473.40/625,696.80 = 192,521.56/x
  3. Step 3: Cross multiply
    417,473.40x = 625,696.80 × 192,521.56
  4. Step 4: Simplify right side
    417,473.40x = 120,460,124,023.01
  5. Step 5: Solve for x
    x = 120,460,124,023.01/417,473.40
  6. Step 6: Final answer
    x = 288,545.63

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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.