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Finding the Fourth Proportional to 474,330.06, 711,323.70 and 158,713.14

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Solution

The fourth proportional to 474,330.06, 711,323.70 and 158,713.14 is: 238,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,330.06 : 711,323.70 = 158,713.14 : x
  2. Step 2: Convert to fraction form
    474,330.06/711,323.70 = 158,713.14/x
  3. Step 3: Cross multiply
    474,330.06x = 711,323.70 × 158,713.14
  4. Step 4: Simplify right side
    474,330.06x = 112,896,417,983.42
  5. Step 5: Solve for x
    x = 112,896,417,983.42/474,330.06
  6. Step 6: Final answer
    x = 238,012.36

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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.