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Finding the Fourth Proportional to 549,940.80, 824,911.20 and 461,367.30

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Solution

The fourth proportional to 549,940.80, 824,911.20 and 461,367.30 is: 692,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,940.80 : 824,911.20 = 461,367.30 : x
  2. Step 2: Convert to fraction form
    549,940.80/824,911.20 = 461,367.30/x
  3. Step 3: Cross multiply
    549,940.80x = 824,911.20 × 461,367.30
  4. Step 4: Simplify right side
    549,940.80x = 380,587,053,083.76
  5. Step 5: Solve for x
    x = 380,587,053,083.76/549,940.80
  6. Step 6: Final answer
    x = 692,050.95

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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.