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Finding the Fourth Proportional to 393,012, 589,518 and 97,524

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Solution

The fourth proportional to 393,012, 589,518 and 97,524 is: 146,286

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,012 : 589,518 = 97,524 : x
  2. Step 2: Convert to fraction form
    393,012/589,518 = 97,524/x
  3. Step 3: Cross multiply
    393,012x = 589,518 × 97,524
  4. Step 4: Simplify right side
    393,012x = 57,492,153,432
  5. Step 5: Solve for x
    x = 57,492,153,432/393,012
  6. Step 6: Final answer
    x = 146,286

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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.