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Finding the Fourth Proportional to 472,595.85, 708,892.29 and 117,610.11

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Solution

The fourth proportional to 472,595.85, 708,892.29 and 117,610.11 is: 176,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,595.85 : 708,892.29 = 117,610.11 : x
  2. Step 2: Convert to fraction form
    472,595.85/708,892.29 = 117,610.11/x
  3. Step 3: Cross multiply
    472,595.85x = 708,892.29 × 117,610.11
  4. Step 4: Simplify right side
    472,595.85x = 83,372,900,205.05
  5. Step 5: Solve for x
    x = 83,372,900,205.05/472,595.85
  6. Step 6: Final answer
    x = 176,414.80

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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.