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Finding the Fourth Proportional to 474,102.96, 711,006.24 and 158,486.16

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Solution

The fourth proportional to 474,102.96, 711,006.24 and 158,486.16 is: 237,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,102.96 : 711,006.24 = 158,486.16 : x
  2. Step 2: Convert to fraction form
    474,102.96/711,006.24 = 158,486.16/x
  3. Step 3: Cross multiply
    474,102.96x = 711,006.24 × 158,486.16
  4. Step 4: Simplify right side
    474,102.96x = 112,684,648,713.64
  5. Step 5: Solve for x
    x = 112,684,648,713.64/474,102.96
  6. Step 6: Final answer
    x = 237,679.70

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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.