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Finding the Fourth Proportional to 498,194.65, 747,287.05 and 228,246.22

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Solution

The fourth proportional to 498,194.65, 747,287.05 and 228,246.22 is: 342,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,194.65 : 747,287.05 = 228,246.22 : x
  2. Step 2: Convert to fraction form
    498,194.65/747,287.05 = 228,246.22/x
  3. Step 3: Cross multiply
    498,194.65x = 747,287.05 × 228,246.22
  4. Step 4: Simplify right side
    498,194.65x = 170,565,444,417.45
  5. Step 5: Solve for x
    x = 170,565,444,417.45/498,194.65
  6. Step 6: Final answer
    x = 342,367.07

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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.