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Finding the Fourth Proportional to 416,957.40, 575,401.41 and 225,970.74

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Solution

The fourth proportional to 416,957.40, 575,401.41 and 225,970.74 is: 311,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,957.40 : 575,401.41 = 225,970.74 : x
  2. Step 2: Convert to fraction form
    416,957.40/575,401.41 = 225,970.74/x
  3. Step 3: Cross multiply
    416,957.40x = 575,401.41 × 225,970.74
  4. Step 4: Simplify right side
    416,957.40x = 130,023,882,414.74
  5. Step 5: Solve for x
    x = 130,023,882,414.74/416,957.40
  6. Step 6: Final answer
    x = 311,839.73

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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.