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Finding the Fourth Proportional to 298,470.80, 448,051.80 and 180,275.60

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Solution

The fourth proportional to 298,470.80, 448,051.80 and 180,275.60 is: 270,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,470.80 : 448,051.80 = 180,275.60 : x
  2. Step 2: Convert to fraction form
    298,470.80/448,051.80 = 180,275.60/x
  3. Step 3: Cross multiply
    298,470.80x = 448,051.80 × 180,275.60
  4. Step 4: Simplify right side
    298,470.80x = 80,772,807,076.08
  5. Step 5: Solve for x
    x = 80,772,807,076.08/298,470.80
  6. Step 6: Final answer
    x = 270,622.14

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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.