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Finding the Fourth Proportional to 474,008.82, 654,132.53 and 259,145.46

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Solution

The fourth proportional to 474,008.82, 654,132.53 and 259,145.46 is: 357,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,008.82 : 654,132.53 = 259,145.46 : x
  2. Step 2: Convert to fraction form
    474,008.82/654,132.53 = 259,145.46/x
  3. Step 3: Cross multiply
    474,008.82x = 654,132.53 × 259,145.46
  4. Step 4: Simplify right side
    474,008.82x = 169,515,475,387.81
  5. Step 5: Solve for x
    x = 169,515,475,387.81/474,008.82
  6. Step 6: Final answer
    x = 357,620.93

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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.