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Finding the Fourth Proportional to 475,569.92, 656,286 and 260,711.84

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Solution

The fourth proportional to 475,569.92, 656,286 and 260,711.84 is: 359,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,569.92 : 656,286 = 260,711.84 : x
  2. Step 2: Convert to fraction form
    475,569.92/656,286 = 260,711.84/x
  3. Step 3: Cross multiply
    475,569.92x = 656,286 × 260,711.84
  4. Step 4: Simplify right side
    475,569.92x = 171,101,530,626.24
  5. Step 5: Solve for x
    x = 171,101,530,626.24/475,569.92
  6. Step 6: Final answer
    x = 359,782.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.