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Finding the Fourth Proportional to 497,199.60, 745,907.40 and 181,656

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Solution

The fourth proportional to 497,199.60, 745,907.40 and 181,656 is: 272,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,199.60 : 745,907.40 = 181,656 : x
  2. Step 2: Convert to fraction form
    497,199.60/745,907.40 = 181,656/x
  3. Step 3: Cross multiply
    497,199.60x = 745,907.40 × 181,656
  4. Step 4: Simplify right side
    497,199.60x = 135,498,554,654.40
  5. Step 5: Solve for x
    x = 135,498,554,654.40/497,199.60
  6. Step 6: Final answer
    x = 272,523.46

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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.