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Finding the Fourth Proportional to 510,732, 766,098 and 160,524

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Solution

The fourth proportional to 510,732, 766,098 and 160,524 is: 240,786

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,732 : 766,098 = 160,524 : x
  2. Step 2: Convert to fraction form
    510,732/766,098 = 160,524/x
  3. Step 3: Cross multiply
    510,732x = 766,098 × 160,524
  4. Step 4: Simplify right side
    510,732x = 122,977,115,352
  5. Step 5: Solve for x
    x = 122,977,115,352/510,732
  6. Step 6: Final answer
    x = 240,786

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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.