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Finding the Fourth Proportional to 316,878.39, 472,860.77 and 283,227.75

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Solution

The fourth proportional to 316,878.39, 472,860.77 and 283,227.75 is: 422,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,878.39 : 472,860.77 = 283,227.75 : x
  2. Step 2: Convert to fraction form
    316,878.39/472,860.77 = 283,227.75/x
  3. Step 3: Cross multiply
    316,878.39x = 472,860.77 × 283,227.75
  4. Step 4: Simplify right side
    316,878.39x = 133,927,290,534.23
  5. Step 5: Solve for x
    x = 133,927,290,534.23/316,878.39
  6. Step 6: Final answer
    x = 422,645.70

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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.