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Finding the Fourth Proportional to 475,338.59, 655,983.23 and 260,476.77

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Solution

The fourth proportional to 475,338.59, 655,983.23 and 260,476.77 is: 359,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,338.59 : 655,983.23 = 260,476.77 : x
  2. Step 2: Convert to fraction form
    475,338.59/655,983.23 = 260,476.77/x
  3. Step 3: Cross multiply
    475,338.59x = 655,983.23 × 260,476.77
  4. Step 4: Simplify right side
    475,338.59x = 170,868,391,622.18
  5. Step 5: Solve for x
    x = 170,868,391,622.18/475,338.59
  6. Step 6: Final answer
    x = 359,466.70

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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.