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Finding the Fourth Proportional to 416,647.33, 574,973.34 and 225,660.74

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Solution

The fourth proportional to 416,647.33, 574,973.34 and 225,660.74 is: 311,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,647.33 : 574,973.34 = 225,660.74 : x
  2. Step 2: Convert to fraction form
    416,647.33/574,973.34 = 225,660.74/x
  3. Step 3: Cross multiply
    416,647.33x = 574,973.34 × 225,660.74
  4. Step 4: Simplify right side
    416,647.33x = 129,748,905,663.58
  5. Step 5: Solve for x
    x = 129,748,905,663.58/416,647.33
  6. Step 6: Final answer
    x = 311,411.83

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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.