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Finding the Fourth Proportional to 474,534.27, 654,841.40 and 259,659.90

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Solution

The fourth proportional to 474,534.27, 654,841.40 and 259,659.90 is: 358,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,534.27 : 654,841.40 = 259,659.90 : x
  2. Step 2: Convert to fraction form
    474,534.27/654,841.40 = 259,659.90/x
  3. Step 3: Cross multiply
    474,534.27x = 654,841.40 × 259,659.90
  4. Step 4: Simplify right side
    474,534.27x = 170,036,051,141.56
  5. Step 5: Solve for x
    x = 170,036,051,141.56/474,534.27
  6. Step 6: Final answer
    x = 358,321.96

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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.