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Finding the Fourth Proportional to 474,328.06, 711,320.70 and 158,711.14

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Solution

The fourth proportional to 474,328.06, 711,320.70 and 158,711.14 is: 238,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,328.06 : 711,320.70 = 158,711.14 : x
  2. Step 2: Convert to fraction form
    474,328.06/711,320.70 = 158,711.14/x
  3. Step 3: Cross multiply
    474,328.06x = 711,320.70 × 158,711.14
  4. Step 4: Simplify right side
    474,328.06x = 112,894,519,202.60
  5. Step 5: Solve for x
    x = 112,894,519,202.60/474,328.06
  6. Step 6: Final answer
    x = 238,009.36

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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.