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Finding the Fourth Proportional to 417,964.67, 576,967.81 and 282,182.54

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Solution

The fourth proportional to 417,964.67, 576,967.81 and 282,182.54 is: 389,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,964.67 : 576,967.81 = 282,182.54 : x
  2. Step 2: Convert to fraction form
    417,964.67/576,967.81 = 282,182.54/x
  3. Step 3: Cross multiply
    417,964.67x = 576,967.81 × 282,182.54
  4. Step 4: Simplify right side
    417,964.67x = 162,810,239,062.83
  5. Step 5: Solve for x
    x = 162,810,239,062.83/417,964.67
  6. Step 6: Final answer
    x = 389,531.10

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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.