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Finding the Fourth Proportional to 416,846.65, 575,248.89 and 225,859.90

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Solution

The fourth proportional to 416,846.65, 575,248.89 and 225,859.90 is: 311,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,846.65 : 575,248.89 = 225,859.90 : x
  2. Step 2: Convert to fraction form
    416,846.65/575,248.89 = 225,859.90/x
  3. Step 3: Cross multiply
    416,846.65x = 575,248.89 × 225,859.90
  4. Step 4: Simplify right side
    416,846.65x = 129,925,656,770.51
  5. Step 5: Solve for x
    x = 129,925,656,770.51/416,846.65
  6. Step 6: Final answer
    x = 311,686.94

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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.