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Finding the Fourth Proportional to 539,549.46, 809,323.65 and 160,468.65

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Solution

The fourth proportional to 539,549.46, 809,323.65 and 160,468.65 is: 240,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,549.46 : 809,323.65 = 160,468.65 : x
  2. Step 2: Convert to fraction form
    539,549.46/809,323.65 = 160,468.65/x
  3. Step 3: Cross multiply
    539,549.46x = 809,323.65 × 160,468.65
  4. Step 4: Simplify right side
    539,549.46x = 129,871,073,528.57
  5. Step 5: Solve for x
    x = 129,871,073,528.57/539,549.46
  6. Step 6: Final answer
    x = 240,702.81

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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.