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Finding the Fourth Proportional to 416,610.56, 574,881.48 and 232,815.20

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Solution

The fourth proportional to 416,610.56, 574,881.48 and 232,815.20 is: 321,262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,610.56 : 574,881.48 = 232,815.20 : x
  2. Step 2: Convert to fraction form
    416,610.56/574,881.48 = 232,815.20/x
  3. Step 3: Cross multiply
    416,610.56x = 574,881.48 × 232,815.20
  4. Step 4: Simplify right side
    416,610.56x = 133,841,146,742.50
  5. Step 5: Solve for x
    x = 133,841,146,742.50/416,610.56
  6. Step 6: Final answer
    x = 321,262.01

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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.