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Finding the Fourth Proportional to 474,329.06, 711,322.20 and 158,712.14

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Solution

The fourth proportional to 474,329.06, 711,322.20 and 158,712.14 is: 238,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,329.06 : 711,322.20 = 158,712.14 : x
  2. Step 2: Convert to fraction form
    474,329.06/711,322.20 = 158,712.14/x
  3. Step 3: Cross multiply
    474,329.06x = 711,322.20 × 158,712.14
  4. Step 4: Simplify right side
    474,329.06x = 112,895,468,591.51
  5. Step 5: Solve for x
    x = 112,895,468,591.51/474,329.06
  6. Step 6: Final answer
    x = 238,010.86

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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.