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Finding the Fourth Proportional to 416,945.57, 575,385.39 and 225,958.95

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Solution

The fourth proportional to 416,945.57, 575,385.39 and 225,958.95 is: 311,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,945.57 : 575,385.39 = 225,958.95 : x
  2. Step 2: Convert to fraction form
    416,945.57/575,385.39 = 225,958.95/x
  3. Step 3: Cross multiply
    416,945.57x = 575,385.39 × 225,958.95
  4. Step 4: Simplify right side
    416,945.57x = 130,013,478,569.74
  5. Step 5: Solve for x
    x = 130,013,478,569.74/416,945.57
  6. Step 6: Final answer
    x = 311,823.63

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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.