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Finding the Fourth Proportional to 475,603.16, 656,332.20 and 260,738.62

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Solution

The fourth proportional to 475,603.16, 656,332.20 and 260,738.62 is: 359,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,603.16 : 656,332.20 = 260,738.62 : x
  2. Step 2: Convert to fraction form
    475,603.16/656,332.20 = 260,738.62/x
  3. Step 3: Cross multiply
    475,603.16x = 656,332.20 × 260,738.62
  4. Step 4: Simplify right side
    475,603.16x = 171,131,152,089.56
  5. Step 5: Solve for x
    x = 171,131,152,089.56/475,603.16
  6. Step 6: Final answer
    x = 359,819.21

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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.