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Finding the Fourth Proportional to 416,566.56, 574,862.16 and 225,580.16

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Solution

The fourth proportional to 416,566.56, 574,862.16 and 225,580.16 is: 311,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,566.56 : 574,862.16 = 225,580.16 : x
  2. Step 2: Convert to fraction form
    416,566.56/574,862.16 = 225,580.16/x
  3. Step 3: Cross multiply
    416,566.56x = 574,862.16 × 225,580.16
  4. Step 4: Simplify right side
    416,566.56x = 129,677,498,030.75
  5. Step 5: Solve for x
    x = 129,677,498,030.75/416,566.56
  6. Step 6: Final answer
    x = 311,300.79

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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.