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Finding the Fourth Proportional to 279,204.53, 415,648.98 and 277,543.76

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Solution

The fourth proportional to 279,204.53, 415,648.98 and 277,543.76 is: 413,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,204.53 : 415,648.98 = 277,543.76 : x
  2. Step 2: Convert to fraction form
    279,204.53/415,648.98 = 277,543.76/x
  3. Step 3: Cross multiply
    279,204.53x = 415,648.98 × 277,543.76
  4. Step 4: Simplify right side
    279,204.53x = 115,360,778,671.12
  5. Step 5: Solve for x
    x = 115,360,778,671.12/279,204.53
  6. Step 6: Final answer
    x = 413,176.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.