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Finding the Fourth Proportional to 417,995.56, 577,046.10 and 265,189.96

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Solution

The fourth proportional to 417,995.56, 577,046.10 and 265,189.96 is: 366,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,995.56 : 577,046.10 = 265,189.96 : x
  2. Step 2: Convert to fraction form
    417,995.56/577,046.10 = 265,189.96/x
  3. Step 3: Cross multiply
    417,995.56x = 577,046.10 × 265,189.96
  4. Step 4: Simplify right side
    417,995.56x = 153,026,832,177.16
  5. Step 5: Solve for x
    x = 153,026,832,177.16/417,995.56
  6. Step 6: Final answer
    x = 366,096.79

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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.