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Finding the Fourth Proportional to 537,720.76, 806,702.65 and 177,890.76

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Solution

The fourth proportional to 537,720.76, 806,702.65 and 177,890.76 is: 266,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,720.76 : 806,702.65 = 177,890.76 : x
  2. Step 2: Convert to fraction form
    537,720.76/806,702.65 = 177,890.76/x
  3. Step 3: Cross multiply
    537,720.76x = 806,702.65 × 177,890.76
  4. Step 4: Simplify right side
    537,720.76x = 143,504,949,443.01
  5. Step 5: Solve for x
    x = 143,504,949,443.01/537,720.76
  6. Step 6: Final answer
    x = 266,876.34

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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.