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Finding the Fourth Proportional to 492,831.12, 739,326.40 and 193,149.12

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Solution

The fourth proportional to 492,831.12, 739,326.40 and 193,149.12 is: 289,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,831.12 : 739,326.40 = 193,149.12 : x
  2. Step 2: Convert to fraction form
    492,831.12/739,326.40 = 193,149.12/x
  3. Step 3: Cross multiply
    492,831.12x = 739,326.40 × 193,149.12
  4. Step 4: Simplify right side
    492,831.12x = 142,800,243,552.77
  5. Step 5: Solve for x
    x = 142,800,243,552.77/492,831.12
  6. Step 6: Final answer
    x = 289,754.92

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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.