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Finding the Fourth Proportional to 516,269.79, 712,253.30 and 380,626.17

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Solution

The fourth proportional to 516,269.79, 712,253.30 and 380,626.17 is: 525,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,269.79 : 712,253.30 = 380,626.17 : x
  2. Step 2: Convert to fraction form
    516,269.79/712,253.30 = 380,626.17/x
  3. Step 3: Cross multiply
    516,269.79x = 712,253.30 × 380,626.17
  4. Step 4: Simplify right side
    516,269.79x = 271,102,243,745.73
  5. Step 5: Solve for x
    x = 271,102,243,745.73/516,269.79
  6. Step 6: Final answer
    x = 525,117.39

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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.