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Finding the Fourth Proportional to 474,012.60, 711,116.10 and 158,695.80

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Solution

The fourth proportional to 474,012.60, 711,116.10 and 158,695.80 is: 238,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,012.60 : 711,116.10 = 158,695.80 : x
  2. Step 2: Convert to fraction form
    474,012.60/711,116.10 = 158,695.80/x
  3. Step 3: Cross multiply
    474,012.60x = 711,116.10 × 158,695.80
  4. Step 4: Simplify right side
    474,012.60x = 112,851,138,382.38
  5. Step 5: Solve for x
    x = 112,851,138,382.38/474,012.60
  6. Step 6: Final answer
    x = 238,076.24

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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.