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Finding the Fourth Proportional to 469,500.96, 703,049.40 and 258,905.28

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Solution

The fourth proportional to 469,500.96, 703,049.40 and 258,905.28 is: 387,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,500.96 : 703,049.40 = 258,905.28 : x
  2. Step 2: Convert to fraction form
    469,500.96/703,049.40 = 258,905.28/x
  3. Step 3: Cross multiply
    469,500.96x = 703,049.40 × 258,905.28
  4. Step 4: Simplify right side
    469,500.96x = 182,023,201,760.83
  5. Step 5: Solve for x
    x = 182,023,201,760.83/469,500.96
  6. Step 6: Final answer
    x = 387,695.06

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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.