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Finding the Fourth Proportional to 540,838.80, 746,327.31 and 295,775.16

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Solution

The fourth proportional to 540,838.80, 746,327.31 and 295,775.16 is: 408,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,838.80 : 746,327.31 = 295,775.16 : x
  2. Step 2: Convert to fraction form
    540,838.80/746,327.31 = 295,775.16/x
  3. Step 3: Cross multiply
    540,838.80x = 746,327.31 × 295,775.16
  4. Step 4: Simplify right side
    540,838.80x = 220,745,079,527.62
  5. Step 5: Solve for x
    x = 220,745,079,527.62/540,838.80
  6. Step 6: Final answer
    x = 408,153.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.