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Finding the Fourth Proportional to 510,733, 766,099.50 and 160,525

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Solution

The fourth proportional to 510,733, 766,099.50 and 160,525 is: 240,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,733 : 766,099.50 = 160,525 : x
  2. Step 2: Convert to fraction form
    510,733/766,099.50 = 160,525/x
  3. Step 3: Cross multiply
    510,733x = 766,099.50 × 160,525
  4. Step 4: Simplify right side
    510,733x = 122,978,122,237.50
  5. Step 5: Solve for x
    x = 122,978,122,237.50/510,733
  6. Step 6: Final answer
    x = 240,787.50

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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.