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Finding the Fourth Proportional to 310,456.39, 465,353.02 and 177,049.39

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Solution

The fourth proportional to 310,456.39, 465,353.02 and 177,049.39 is: 265,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,456.39 : 465,353.02 = 177,049.39 : x
  2. Step 2: Convert to fraction form
    310,456.39/465,353.02 = 177,049.39/x
  3. Step 3: Cross multiply
    310,456.39x = 465,353.02 × 177,049.39
  4. Step 4: Simplify right side
    310,456.39x = 82,390,468,325.66
  5. Step 5: Solve for x
    x = 82,390,468,325.66/310,456.39
  6. Step 6: Final answer
    x = 265,385.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.