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Finding the Fourth Proportional to 497,200.10, 745,908.15 and 181,656.50

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Solution

The fourth proportional to 497,200.10, 745,908.15 and 181,656.50 is: 272,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,200.10 : 745,908.15 = 181,656.50 : x
  2. Step 2: Convert to fraction form
    497,200.10/745,908.15 = 181,656.50/x
  3. Step 3: Cross multiply
    497,200.10x = 745,908.15 × 181,656.50
  4. Step 4: Simplify right side
    497,200.10x = 135,499,063,850.48
  5. Step 5: Solve for x
    x = 135,499,063,850.48/497,200.10
  6. Step 6: Final answer
    x = 272,524.21

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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.