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Finding the Fourth Proportional to 314,923.33, 472,383.24 and 78,265.90

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Solution

The fourth proportional to 314,923.33, 472,383.24 and 78,265.90 is: 117,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,923.33 : 472,383.24 = 78,265.90 : x
  2. Step 2: Convert to fraction form
    314,923.33/472,383.24 = 78,265.90/x
  3. Step 3: Cross multiply
    314,923.33x = 472,383.24 × 78,265.90
  4. Step 4: Simplify right side
    314,923.33x = 36,971,499,423.52
  5. Step 5: Solve for x
    x = 36,971,499,423.52/314,923.33
  6. Step 6: Final answer
    x = 117,398.41

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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.