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Finding the Fourth Proportional to 486,032.53, 729,049.16 and 166,186.81

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Solution

The fourth proportional to 486,032.53, 729,049.16 and 166,186.81 is: 249,280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,032.53 : 729,049.16 = 166,186.81 : x
  2. Step 2: Convert to fraction form
    486,032.53/729,049.16 = 166,186.81/x
  3. Step 3: Cross multiply
    486,032.53x = 729,049.16 × 166,186.81
  4. Step 4: Simplify right side
    486,032.53x = 121,158,350,463.90
  5. Step 5: Solve for x
    x = 121,158,350,463.90/486,032.53
  6. Step 6: Final answer
    x = 249,280.33

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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.