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Finding the Fourth Proportional to 360,791.74, 497,931.87 and 231,868.90

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Solution

The fourth proportional to 360,791.74, 497,931.87 and 231,868.90 is: 320,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,791.74 : 497,931.87 = 231,868.90 : x
  2. Step 2: Convert to fraction form
    360,791.74/497,931.87 = 231,868.90/x
  3. Step 3: Cross multiply
    360,791.74x = 497,931.87 × 231,868.90
  4. Step 4: Simplify right side
    360,791.74x = 115,454,914,971.84
  5. Step 5: Solve for x
    x = 115,454,914,971.84/360,791.74
  6. Step 6: Final answer
    x = 320,004.32

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1.5x scale

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.