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Finding the Fourth Proportional to 549,293.40, 823,940.10 and 398,827.80

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Solution

The fourth proportional to 549,293.40, 823,940.10 and 398,827.80 is: 598,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,293.40 : 823,940.10 = 398,827.80 : x
  2. Step 2: Convert to fraction form
    549,293.40/823,940.10 = 398,827.80/x
  3. Step 3: Cross multiply
    549,293.40x = 823,940.10 × 398,827.80
  4. Step 4: Simplify right side
    549,293.40x = 328,610,217,414.78
  5. Step 5: Solve for x
    x = 328,610,217,414.78/549,293.40
  6. Step 6: Final answer
    x = 598,241.70

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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.