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Finding the Fourth Proportional to 474,062.76, 711,374.76 and 174,753.72

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Solution

The fourth proportional to 474,062.76, 711,374.76 and 174,753.72 is: 262,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,062.76 : 711,374.76 = 174,753.72 : x
  2. Step 2: Convert to fraction form
    474,062.76/711,374.76 = 174,753.72/x
  3. Step 3: Cross multiply
    474,062.76x = 711,374.76 × 174,753.72
  4. Step 4: Simplify right side
    474,062.76x = 124,315,385,624.11
  5. Step 5: Solve for x
    x = 124,315,385,624.11/474,062.76
  6. Step 6: Final answer
    x = 262,234.02

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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.