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Finding the Fourth Proportional to 475,707.24, 713,061.36 and 160,054.56

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Solution

The fourth proportional to 475,707.24, 713,061.36 and 160,054.56 is: 239,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,707.24 : 713,061.36 = 160,054.56 : x
  2. Step 2: Convert to fraction form
    475,707.24/713,061.36 = 160,054.56/x
  3. Step 3: Cross multiply
    475,707.24x = 713,061.36 × 160,054.56
  4. Step 4: Simplify right side
    475,707.24x = 114,128,722,227.80
  5. Step 5: Solve for x
    x = 114,128,722,227.80/475,707.24
  6. Step 6: Final answer
    x = 239,913.78

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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.