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Finding the Fourth Proportional to 471,261.54, 706,957.96 and 151,423.04

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Solution

The fourth proportional to 471,261.54, 706,957.96 and 151,423.04 is: 227,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,261.54 : 706,957.96 = 151,423.04 : x
  2. Step 2: Convert to fraction form
    471,261.54/706,957.96 = 151,423.04/x
  3. Step 3: Cross multiply
    471,261.54x = 706,957.96 × 151,423.04
  4. Step 4: Simplify right side
    471,261.54x = 107,049,723,455.40
  5. Step 5: Solve for x
    x = 107,049,723,455.40/471,261.54
  6. Step 6: Final answer
    x = 227,155.65

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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.