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Finding the Fourth Proportional to 551,208.80, 826,813.20 and 271,272.80

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Solution

The fourth proportional to 551,208.80, 826,813.20 and 271,272.80 is: 406,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,208.80 : 826,813.20 = 271,272.80 : x
  2. Step 2: Convert to fraction form
    551,208.80/826,813.20 = 271,272.80/x
  3. Step 3: Cross multiply
    551,208.80x = 826,813.20 × 271,272.80
  4. Step 4: Simplify right side
    551,208.80x = 224,291,931,840.96
  5. Step 5: Solve for x
    x = 224,291,931,840.96/551,208.80
  6. Step 6: Final answer
    x = 406,909.20

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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.