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Finding the Fourth Proportional to 532,648.26, 798,975.41 and 177,661.31

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Solution

The fourth proportional to 532,648.26, 798,975.41 and 177,661.31 is: 266,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,648.26 : 798,975.41 = 177,661.31 : x
  2. Step 2: Convert to fraction form
    532,648.26/798,975.41 = 177,661.31/x
  3. Step 3: Cross multiply
    532,648.26x = 798,975.41 × 177,661.31
  4. Step 4: Simplify right side
    532,648.26x = 141,947,013,115.20
  5. Step 5: Solve for x
    x = 141,947,013,115.20/532,648.26
  6. Step 6: Final answer
    x = 266,492.96

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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.