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Finding the Fourth Proportional to 549,635.80, 823,287.30 and 456,323.80

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Solution

The fourth proportional to 549,635.80, 823,287.30 and 456,323.80 is: 683,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,635.80 : 823,287.30 = 456,323.80 : x
  2. Step 2: Convert to fraction form
    549,635.80/823,287.30 = 456,323.80/x
  3. Step 3: Cross multiply
    549,635.80x = 823,287.30 × 456,323.80
  4. Step 4: Simplify right side
    549,635.80x = 375,685,589,227.74
  5. Step 5: Solve for x
    x = 375,685,589,227.74/549,635.80
  6. Step 6: Final answer
    x = 683,517.32

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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.