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Finding the Fourth Proportional to 475,617.12, 713,499.45 and 160,049.40

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Solution

The fourth proportional to 475,617.12, 713,499.45 and 160,049.40 is: 240,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,617.12 : 713,499.45 = 160,049.40 : x
  2. Step 2: Convert to fraction form
    475,617.12/713,499.45 = 160,049.40/x
  3. Step 3: Cross multiply
    475,617.12x = 713,499.45 × 160,049.40
  4. Step 4: Simplify right side
    475,617.12x = 114,195,158,872.83
  5. Step 5: Solve for x
    x = 114,195,158,872.83/475,617.12
  6. Step 6: Final answer
    x = 240,098.92

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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.