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Finding the Fourth Proportional to 463,891.76, 695,793.72 and 148,263.92

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Solution

The fourth proportional to 463,891.76, 695,793.72 and 148,263.92 is: 222,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,891.76 : 695,793.72 = 148,263.92 : x
  2. Step 2: Convert to fraction form
    463,891.76/695,793.72 = 148,263.92/x
  3. Step 3: Cross multiply
    463,891.76x = 695,793.72 × 148,263.92
  4. Step 4: Simplify right side
    463,891.76x = 103,161,104,438.58
  5. Step 5: Solve for x
    x = 103,161,104,438.58/463,891.76
  6. Step 6: Final answer
    x = 222,381.84

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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.