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Finding the Fourth Proportional to 437,868.62, 656,830.68 and 185,102

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Solution

The fourth proportional to 437,868.62, 656,830.68 and 185,102 is: 277,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,868.62 : 656,830.68 = 185,102 : x
  2. Step 2: Convert to fraction form
    437,868.62/656,830.68 = 185,102/x
  3. Step 3: Cross multiply
    437,868.62x = 656,830.68 × 185,102
  4. Step 4: Simplify right side
    437,868.62x = 121,580,672,529.36
  5. Step 5: Solve for x
    x = 121,580,672,529.36/437,868.62
  6. Step 6: Final answer
    x = 277,664.73

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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.