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Finding the Fourth Proportional to 416,568.46, 574,866.24 and 225,582.01

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Solution

The fourth proportional to 416,568.46, 574,866.24 and 225,582.01 is: 311,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,568.46 : 574,866.24 = 225,582.01 : x
  2. Step 2: Convert to fraction form
    416,568.46/574,866.24 = 225,582.01/x
  3. Step 3: Cross multiply
    416,568.46x = 574,866.24 × 225,582.01
  4. Step 4: Simplify right side
    416,568.46x = 129,679,481,900.34
  5. Step 5: Solve for x
    x = 129,679,481,900.34/416,568.46
  6. Step 6: Final answer
    x = 311,304.13

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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.