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Finding the Fourth Proportional to 306,566.80, 460,627.80 and 272,352.40

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Solution

The fourth proportional to 306,566.80, 460,627.80 and 272,352.40 is: 409,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,566.80 : 460,627.80 = 272,352.40 : x
  2. Step 2: Convert to fraction form
    306,566.80/460,627.80 = 272,352.40/x
  3. Step 3: Cross multiply
    306,566.80x = 460,627.80 × 272,352.40
  4. Step 4: Simplify right side
    306,566.80x = 125,453,086,836.72
  5. Step 5: Solve for x
    x = 125,453,086,836.72/306,566.80
  6. Step 6: Final answer
    x = 409,219.42

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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.