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Finding the Fourth Proportional to 497,200.35, 745,908.53 and 181,656.75

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Solution

The fourth proportional to 497,200.35, 745,908.53 and 181,656.75 is: 272,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,200.35 : 745,908.53 = 181,656.75 : x
  2. Step 2: Convert to fraction form
    497,200.35/745,908.53 = 181,656.75/x
  3. Step 3: Cross multiply
    497,200.35x = 745,908.53 × 181,656.75
  4. Step 4: Simplify right side
    497,200.35x = 135,499,318,448.79
  5. Step 5: Solve for x
    x = 135,499,318,448.79/497,200.35
  6. Step 6: Final answer
    x = 272,524.58

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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.