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Finding the Fourth Proportional to 395,846.16, 593,769.33 and 96,327

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Solution

The fourth proportional to 395,846.16, 593,769.33 and 96,327 is: 144,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,846.16 : 593,769.33 = 96,327 : x
  2. Step 2: Convert to fraction form
    395,846.16/593,769.33 = 96,327/x
  3. Step 3: Cross multiply
    395,846.16x = 593,769.33 × 96,327
  4. Step 4: Simplify right side
    395,846.16x = 57,196,018,250.91
  5. Step 5: Solve for x
    x = 57,196,018,250.91/395,846.16
  6. Step 6: Final answer
    x = 144,490.52

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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.