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Finding the Fourth Proportional to 416,768.04, 575,142.12 and 225,781.92

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Solution

The fourth proportional to 416,768.04, 575,142.12 and 225,781.92 is: 311,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,768.04 : 575,142.12 = 225,781.92 : x
  2. Step 2: Convert to fraction form
    416,768.04/575,142.12 = 225,781.92/x
  3. Step 3: Cross multiply
    416,768.04x = 575,142.12 × 225,781.92
  4. Step 4: Simplify right side
    416,768.04x = 129,856,692,126.47
  5. Step 5: Solve for x
    x = 129,856,692,126.47/416,768.04
  6. Step 6: Final answer
    x = 311,580.25

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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.