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Finding the Fourth Proportional to 502,549.50, 693,518.31 and 276,195

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Solution

The fourth proportional to 502,549.50, 693,518.31 and 276,195 is: 381,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,549.50 : 693,518.31 = 276,195 : x
  2. Step 2: Convert to fraction form
    502,549.50/693,518.31 = 276,195/x
  3. Step 3: Cross multiply
    502,549.50x = 693,518.31 × 276,195
  4. Step 4: Simplify right side
    502,549.50x = 191,546,289,630.45
  5. Step 5: Solve for x
    x = 191,546,289,630.45/502,549.50
  6. Step 6: Final answer
    x = 381,149.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.