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Finding the Fourth Proportional to 363,886.80, 545,830.20 and 340,267.20

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Solution

The fourth proportional to 363,886.80, 545,830.20 and 340,267.20 is: 510,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,886.80 : 545,830.20 = 340,267.20 : x
  2. Step 2: Convert to fraction form
    363,886.80/545,830.20 = 340,267.20/x
  3. Step 3: Cross multiply
    363,886.80x = 545,830.20 × 340,267.20
  4. Step 4: Simplify right side
    363,886.80x = 185,728,113,829.44
  5. Step 5: Solve for x
    x = 185,728,113,829.44/363,886.80
  6. Step 6: Final answer
    x = 510,400.80

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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.