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Finding the Fourth Proportional to 475,372.56, 656,019.29 and 260,508

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Solution

The fourth proportional to 475,372.56, 656,019.29 and 260,508 is: 359,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,372.56 : 656,019.29 = 260,508 : x
  2. Step 2: Convert to fraction form
    475,372.56/656,019.29 = 260,508/x
  3. Step 3: Cross multiply
    475,372.56x = 656,019.29 × 260,508
  4. Step 4: Simplify right side
    475,372.56x = 170,898,273,199.32
  5. Step 5: Solve for x
    x = 170,898,273,199.32/475,372.56
  6. Step 6: Final answer
    x = 359,503.87

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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.