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Finding the Fourth Proportional to 455,704.38, 683,553.96 and 185,831.46

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Solution

The fourth proportional to 455,704.38, 683,553.96 and 185,831.46 is: 278,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,704.38 : 683,553.96 = 185,831.46 : x
  2. Step 2: Convert to fraction form
    455,704.38/683,553.96 = 185,831.46/x
  3. Step 3: Cross multiply
    455,704.38x = 683,553.96 × 185,831.46
  4. Step 4: Simplify right side
    455,704.38x = 127,025,830,375.58
  5. Step 5: Solve for x
    x = 127,025,830,375.58/455,704.38
  6. Step 6: Final answer
    x = 278,746.13

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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.