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Finding the Fourth Proportional to 471,079.76, 706,641.50 and 151,244.66

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Solution

The fourth proportional to 471,079.76, 706,641.50 and 151,244.66 is: 226,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,079.76 : 706,641.50 = 151,244.66 : x
  2. Step 2: Convert to fraction form
    471,079.76/706,641.50 = 151,244.66/x
  3. Step 3: Cross multiply
    471,079.76x = 706,641.50 × 151,244.66
  4. Step 4: Simplify right side
    471,079.76x = 106,875,753,409.39
  5. Step 5: Solve for x
    x = 106,875,753,409.39/471,079.76
  6. Step 6: Final answer
    x = 226,874.01

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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.