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Finding the Fourth Proportional to 512,995.20, 769,492.80 and 233,059.20

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Solution

The fourth proportional to 512,995.20, 769,492.80 and 233,059.20 is: 349,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,995.20 : 769,492.80 = 233,059.20 : x
  2. Step 2: Convert to fraction form
    512,995.20/769,492.80 = 233,059.20/x
  3. Step 3: Cross multiply
    512,995.20x = 769,492.80 × 233,059.20
  4. Step 4: Simplify right side
    512,995.20x = 179,337,376,373.76
  5. Step 5: Solve for x
    x = 179,337,376,373.76/512,995.20
  6. Step 6: Final answer
    x = 349,588.80

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Similar ratio
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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.