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Finding the Fourth Proportional to 463,311.48, 695,019.06 and 147,695.16

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Solution

The fourth proportional to 463,311.48, 695,019.06 and 147,695.16 is: 221,559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,311.48 : 695,019.06 = 147,695.16 : x
  2. Step 2: Convert to fraction form
    463,311.48/695,019.06 = 147,695.16/x
  3. Step 3: Cross multiply
    463,311.48x = 695,019.06 × 147,695.16
  4. Step 4: Simplify right side
    463,311.48x = 102,650,951,269.75
  5. Step 5: Solve for x
    x = 102,650,951,269.75/463,311.48
  6. Step 6: Final answer
    x = 221,559.27

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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.