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Finding the Fourth Proportional to 472,892.58, 709,660.17 and 192,460.86

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Solution

The fourth proportional to 472,892.58, 709,660.17 and 192,460.86 is: 288,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,892.58 : 709,660.17 = 192,460.86 : x
  2. Step 2: Convert to fraction form
    472,892.58/709,660.17 = 192,460.86/x
  3. Step 3: Cross multiply
    472,892.58x = 709,660.17 × 192,460.86
  4. Step 4: Simplify right side
    472,892.58x = 136,581,806,625.95
  5. Step 5: Solve for x
    x = 136,581,806,625.95/472,892.58
  6. Step 6: Final answer
    x = 288,822.05

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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.