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Finding the Fourth Proportional to 366,343.20, 549,514.80 and 271,864.80

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Solution

The fourth proportional to 366,343.20, 549,514.80 and 271,864.80 is: 407,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,343.20 : 549,514.80 = 271,864.80 : x
  2. Step 2: Convert to fraction form
    366,343.20/549,514.80 = 271,864.80/x
  3. Step 3: Cross multiply
    366,343.20x = 549,514.80 × 271,864.80
  4. Step 4: Simplify right side
    366,343.20x = 149,393,731,199.04
  5. Step 5: Solve for x
    x = 149,393,731,199.04/366,343.20
  6. Step 6: Final answer
    x = 407,797.20

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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.