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Finding the Fourth Proportional to 307,565.80, 461,003.10 and 157,748.20

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Solution

The fourth proportional to 307,565.80, 461,003.10 and 157,748.20 is: 236,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,565.80 : 461,003.10 = 157,748.20 : x
  2. Step 2: Convert to fraction form
    307,565.80/461,003.10 = 157,748.20/x
  3. Step 3: Cross multiply
    307,565.80x = 461,003.10 × 157,748.20
  4. Step 4: Simplify right side
    307,565.80x = 72,722,409,219.42
  5. Step 5: Solve for x
    x = 72,722,409,219.42/307,565.80
  6. Step 6: Final answer
    x = 236,445.04

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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.