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Finding the Fourth Proportional to 299,523.60, 448,702.20 and 180,842.40

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Solution

The fourth proportional to 299,523.60, 448,702.20 and 180,842.40 is: 270,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,523.60 : 448,702.20 = 180,842.40 : x
  2. Step 2: Convert to fraction form
    299,523.60/448,702.20 = 180,842.40/x
  3. Step 3: Cross multiply
    299,523.60x = 448,702.20 × 180,842.40
  4. Step 4: Simplify right side
    299,523.60x = 81,144,382,733.28
  5. Step 5: Solve for x
    x = 81,144,382,733.28/299,523.60
  6. Step 6: Final answer
    x = 270,911.48

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1.5x scale

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.