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Finding the Fourth Proportional to 407,651.20, 562,539.86 and 226,374.71

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Solution

The fourth proportional to 407,651.20, 562,539.86 and 226,374.71 is: 312,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,651.20 : 562,539.86 = 226,374.71 : x
  2. Step 2: Convert to fraction form
    407,651.20/562,539.86 = 226,374.71/x
  3. Step 3: Cross multiply
    407,651.20x = 562,539.86 × 226,374.71
  4. Step 4: Simplify right side
    407,651.20x = 127,344,797,945.42
  5. Step 5: Solve for x
    x = 127,344,797,945.42/407,651.20
  6. Step 6: Final answer
    x = 312,386.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.