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Finding the Fourth Proportional to 306,244.80, 459,367.20 and 272,419.20

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Solution

The fourth proportional to 306,244.80, 459,367.20 and 272,419.20 is: 408,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,244.80 : 459,367.20 = 272,419.20 : x
  2. Step 2: Convert to fraction form
    306,244.80/459,367.20 = 272,419.20/x
  3. Step 3: Cross multiply
    306,244.80x = 459,367.20 × 272,419.20
  4. Step 4: Simplify right side
    306,244.80x = 125,140,445,130.24
  5. Step 5: Solve for x
    x = 125,140,445,130.24/306,244.80
  6. Step 6: Final answer
    x = 408,628.80

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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.