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Finding the Fourth Proportional to 492,677.59, 739,016.40 and 176,962.27

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Solution

The fourth proportional to 492,677.59, 739,016.40 and 176,962.27 is: 265,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,677.59 : 739,016.40 = 176,962.27 : x
  2. Step 2: Convert to fraction form
    492,677.59/739,016.40 = 176,962.27/x
  3. Step 3: Cross multiply
    492,677.59x = 739,016.40 × 176,962.27
  4. Step 4: Simplify right side
    492,677.59x = 130,778,019,711.23
  5. Step 5: Solve for x
    x = 130,778,019,711.23/492,677.59
  6. Step 6: Final answer
    x = 265,443.41

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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.