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Finding the Fourth Proportional to 537,644.67, 806,465.86 and 158,831.38

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Solution

The fourth proportional to 537,644.67, 806,465.86 and 158,831.38 is: 238,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,644.67 : 806,465.86 = 158,831.38 : x
  2. Step 2: Convert to fraction form
    537,644.67/806,465.86 = 158,831.38/x
  3. Step 3: Cross multiply
    537,644.67x = 806,465.86 × 158,831.38
  4. Step 4: Simplify right side
    537,644.67x = 128,092,085,466.69
  5. Step 5: Solve for x
    x = 128,092,085,466.69/537,644.67
  6. Step 6: Final answer
    x = 238,246.73

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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.