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Finding the Fourth Proportional to 477,212.59, 715,781.66 and 277,405.53

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Solution

The fourth proportional to 477,212.59, 715,781.66 and 277,405.53 is: 416,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,212.59 : 715,781.66 = 277,405.53 : x
  2. Step 2: Convert to fraction form
    477,212.59/715,781.66 = 277,405.53/x
  3. Step 3: Cross multiply
    477,212.59x = 715,781.66 × 277,405.53
  4. Step 4: Simplify right side
    477,212.59x = 198,561,790,756.58
  5. Step 5: Solve for x
    x = 198,561,790,756.58/477,212.59
  6. Step 6: Final answer
    x = 416,086.66

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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.