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Finding the Fourth Proportional to 497,166.60, 745,857.90 and 181,623

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Solution

The fourth proportional to 497,166.60, 745,857.90 and 181,623 is: 272,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,166.60 : 745,857.90 = 181,623 : x
  2. Step 2: Convert to fraction form
    497,166.60/745,857.90 = 181,623/x
  3. Step 3: Cross multiply
    497,166.60x = 745,857.90 × 181,623
  4. Step 4: Simplify right side
    497,166.60x = 135,464,949,371.70
  5. Step 5: Solve for x
    x = 135,464,949,371.70/497,166.60
  6. Step 6: Final answer
    x = 272,473.95

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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.