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Finding the Fourth Proportional to 475,644.24, 713,540.16 and 160,076.52

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Solution

The fourth proportional to 475,644.24, 713,540.16 and 160,076.52 is: 240,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,644.24 : 713,540.16 = 160,076.52 : x
  2. Step 2: Convert to fraction form
    475,644.24/713,540.16 = 160,076.52/x
  3. Step 3: Cross multiply
    475,644.24x = 713,540.16 × 160,076.52
  4. Step 4: Simplify right side
    475,644.24x = 114,221,025,693.04
  5. Step 5: Solve for x
    x = 114,221,025,693.04/475,644.24
  6. Step 6: Final answer
    x = 240,139.62

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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.