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Finding the Fourth Proportional to 416,754.32, 575,123.76 and 225,767.79

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Solution

The fourth proportional to 416,754.32, 575,123.76 and 225,767.79 is: 311,561.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,754.32 : 575,123.76 = 225,767.79 : x
  2. Step 2: Convert to fraction form
    416,754.32/575,123.76 = 225,767.79/x
  3. Step 3: Cross multiply
    416,754.32x = 575,123.76 × 225,767.79
  4. Step 4: Simplify right side
    416,754.32x = 129,844,420,271.69
  5. Step 5: Solve for x
    x = 129,844,420,271.69/416,754.32
  6. Step 6: Final answer
    x = 311,561.07

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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.