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Finding the Fourth Proportional to 475,780.26, 656,516.40 and 260,863.76

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Solution

The fourth proportional to 475,780.26, 656,516.40 and 260,863.76 is: 359,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,780.26 : 656,516.40 = 260,863.76 : x
  2. Step 2: Convert to fraction form
    475,780.26/656,516.40 = 260,863.76/x
  3. Step 3: Cross multiply
    475,780.26x = 656,516.40 × 260,863.76
  4. Step 4: Simplify right side
    475,780.26x = 171,261,336,605.66
  5. Step 5: Solve for x
    x = 171,261,336,605.66/475,780.26
  6. Step 6: Final answer
    x = 359,958.89

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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.