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Finding the Fourth Proportional to 472,894.61, 652,608.90 and 268,974.88

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Solution

The fourth proportional to 472,894.61, 652,608.90 and 268,974.88 is: 371,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,894.61 : 652,608.90 = 268,974.88 : x
  2. Step 2: Convert to fraction form
    472,894.61/652,608.90 = 268,974.88/x
  3. Step 3: Cross multiply
    472,894.61x = 652,608.90 × 268,974.88
  4. Step 4: Simplify right side
    472,894.61x = 175,535,398,932.91
  5. Step 5: Solve for x
    x = 175,535,398,932.91/472,894.61
  6. Step 6: Final answer
    x = 371,193.49

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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.