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Finding the Fourth Proportional to 549,042.30, 823,563.45 and 283,321.80

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Solution

The fourth proportional to 549,042.30, 823,563.45 and 283,321.80 is: 424,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,042.30 : 823,563.45 = 283,321.80 : x
  2. Step 2: Convert to fraction form
    549,042.30/823,563.45 = 283,321.80/x
  3. Step 3: Cross multiply
    549,042.30x = 823,563.45 × 283,321.80
  4. Step 4: Simplify right side
    549,042.30x = 233,333,479,068.21
  5. Step 5: Solve for x
    x = 233,333,479,068.21/549,042.30
  6. Step 6: Final answer
    x = 424,982.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.