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Finding the Fourth Proportional to 549,348.57, 823,358.52 and 282,963.78

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Solution

The fourth proportional to 549,348.57, 823,358.52 and 282,963.78 is: 424,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,348.57 : 823,358.52 = 282,963.78 : x
  2. Step 2: Convert to fraction form
    549,348.57/823,358.52 = 282,963.78/x
  3. Step 3: Cross multiply
    549,348.57x = 823,358.52 × 282,963.78
  4. Step 4: Simplify right side
    549,348.57x = 232,980,639,114.41
  5. Step 5: Solve for x
    x = 232,980,639,114.41/549,348.57
  6. Step 6: Final answer
    x = 424,103.48

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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.