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Finding the Fourth Proportional to 433,050.60, 649,650.42 and 148,727.64

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Solution

The fourth proportional to 433,050.60, 649,650.42 and 148,727.64 is: 223,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,050.60 : 649,650.42 = 148,727.64 : x
  2. Step 2: Convert to fraction form
    433,050.60/649,650.42 = 148,727.64/x
  3. Step 3: Cross multiply
    433,050.60x = 649,650.42 × 148,727.64
  4. Step 4: Simplify right side
    433,050.60x = 96,620,973,791.61
  5. Step 5: Solve for x
    x = 96,620,973,791.61/433,050.60
  6. Step 6: Final answer
    x = 223,117.05

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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.