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Finding the Fourth Proportional to 467,781.94, 645,417.08 and 274,085.58

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Solution

The fourth proportional to 467,781.94, 645,417.08 and 274,085.58 is: 378,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,781.94 : 645,417.08 = 274,085.58 : x
  2. Step 2: Convert to fraction form
    467,781.94/645,417.08 = 274,085.58/x
  3. Step 3: Cross multiply
    467,781.94x = 645,417.08 × 274,085.58
  4. Step 4: Simplify right side
    467,781.94x = 176,899,515,398.92
  5. Step 5: Solve for x
    x = 176,899,515,398.92/467,781.94
  6. Step 6: Final answer
    x = 378,166.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.