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Finding the Fourth Proportional to 346,481, 519,721.52 and 83,825

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Solution

The fourth proportional to 346,481, 519,721.52 and 83,825 is: 125,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,481 : 519,721.52 = 83,825 : x
  2. Step 2: Convert to fraction form
    346,481/519,721.52 = 83,825/x
  3. Step 3: Cross multiply
    346,481x = 519,721.52 × 83,825
  4. Step 4: Simplify right side
    346,481x = 43,565,656,414
  5. Step 5: Solve for x
    x = 43,565,656,414/346,481
  6. Step 6: Final answer
    x = 125,737.50

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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.