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Finding the Fourth Proportional to 294,585.82, 406,531.17 and 167,264.14

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Solution

The fourth proportional to 294,585.82, 406,531.17 and 167,264.14 is: 230,826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,585.82 : 406,531.17 = 167,264.14 : x
  2. Step 2: Convert to fraction form
    294,585.82/406,531.17 = 167,264.14/x
  3. Step 3: Cross multiply
    294,585.82x = 406,531.17 × 167,264.14
  4. Step 4: Simplify right side
    294,585.82x = 67,998,086,533.24
  5. Step 5: Solve for x
    x = 67,998,086,533.24/294,585.82
  6. Step 6: Final answer
    x = 230,826.07

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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.