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Finding the Fourth Proportional to 510,731, 766,096.50 and 160,523

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Solution

The fourth proportional to 510,731, 766,096.50 and 160,523 is: 240,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,731 : 766,096.50 = 160,523 : x
  2. Step 2: Convert to fraction form
    510,731/766,096.50 = 160,523/x
  3. Step 3: Cross multiply
    510,731x = 766,096.50 × 160,523
  4. Step 4: Simplify right side
    510,731x = 122,976,108,469.50
  5. Step 5: Solve for x
    x = 122,976,108,469.50/510,731
  6. Step 6: Final answer
    x = 240,784.50

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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.