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Finding the Fourth Proportional to 474,324.06, 711,314.70 and 158,707.14

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Solution

The fourth proportional to 474,324.06, 711,314.70 and 158,707.14 is: 238,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,324.06 : 711,314.70 = 158,707.14 : x
  2. Step 2: Convert to fraction form
    474,324.06/711,314.70 = 158,707.14/x
  3. Step 3: Cross multiply
    474,324.06x = 711,314.70 × 158,707.14
  4. Step 4: Simplify right side
    474,324.06x = 112,890,721,676.96
  5. Step 5: Solve for x
    x = 112,890,721,676.96/474,324.06
  6. Step 6: Final answer
    x = 238,003.36

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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.