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Finding the Fourth Proportional to 437,851.92, 656,805.57 and 185,085.30

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Solution

The fourth proportional to 437,851.92, 656,805.57 and 185,085.30 is: 277,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,851.92 : 656,805.57 = 185,085.30 : x
  2. Step 2: Convert to fraction form
    437,851.92/656,805.57 = 185,085.30/x
  3. Step 3: Cross multiply
    437,851.92x = 656,805.57 × 185,085.30
  4. Step 4: Simplify right side
    437,851.92x = 121,565,057,734.07
  5. Step 5: Solve for x
    x = 121,565,057,734.07/437,851.92
  6. Step 6: Final answer
    x = 277,639.66

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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.