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Finding the Fourth Proportional to 497,217.60, 745,934.40 and 181,674

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Solution

The fourth proportional to 497,217.60, 745,934.40 and 181,674 is: 272,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,217.60 : 745,934.40 = 181,674 : x
  2. Step 2: Convert to fraction form
    497,217.60/745,934.40 = 181,674/x
  3. Step 3: Cross multiply
    497,217.60x = 745,934.40 × 181,674
  4. Step 4: Simplify right side
    497,217.60x = 135,516,886,185.60
  5. Step 5: Solve for x
    x = 135,516,886,185.60/497,217.60
  6. Step 6: Final answer
    x = 272,550.46

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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.