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Finding the Fourth Proportional to 294,510.39, 406,415.25 and 173,659.20

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Solution

The fourth proportional to 294,510.39, 406,415.25 and 173,659.20 is: 239,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,510.39 : 406,415.25 = 173,659.20 : x
  2. Step 2: Convert to fraction form
    294,510.39/406,415.25 = 173,659.20/x
  3. Step 3: Cross multiply
    294,510.39x = 406,415.25 × 173,659.20
  4. Step 4: Simplify right side
    294,510.39x = 70,577,747,182.80
  5. Step 5: Solve for x
    x = 70,577,747,182.80/294,510.39
  6. Step 6: Final answer
    x = 239,644.34

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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.