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Finding the Fourth Proportional to 517,569.92, 776,354.40 and 232,927.76

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Solution

The fourth proportional to 517,569.92, 776,354.40 and 232,927.76 is: 349,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,569.92 : 776,354.40 = 232,927.76 : x
  2. Step 2: Convert to fraction form
    517,569.92/776,354.40 = 232,927.76/x
  3. Step 3: Cross multiply
    517,569.92x = 776,354.40 × 232,927.76
  4. Step 4: Simplify right side
    517,569.92x = 180,834,491,358.14
  5. Step 5: Solve for x
    x = 180,834,491,358.14/517,569.92
  6. Step 6: Final answer
    x = 349,391.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.