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Finding the Fourth Proportional to 472,377.32, 708,352.75 and 135,340.82

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Solution

The fourth proportional to 472,377.32, 708,352.75 and 135,340.82 is: 202,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,377.32 : 708,352.75 = 135,340.82 : x
  2. Step 2: Convert to fraction form
    472,377.32/708,352.75 = 135,340.82/x
  3. Step 3: Cross multiply
    472,377.32x = 708,352.75 × 135,340.82
  4. Step 4: Simplify right side
    472,377.32x = 95,869,044,541.18
  5. Step 5: Solve for x
    x = 95,869,044,541.18/472,377.32
  6. Step 6: Final answer
    x = 202,950.14

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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.