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Finding the Fourth Proportional to 510,378.54, 704,353.44 and 284,024.04

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Solution

The fourth proportional to 510,378.54, 704,353.44 and 284,024.04 is: 391,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,378.54 : 704,353.44 = 284,024.04 : x
  2. Step 2: Convert to fraction form
    510,378.54/704,353.44 = 284,024.04/x
  3. Step 3: Cross multiply
    510,378.54x = 704,353.44 × 284,024.04
  4. Step 4: Simplify right side
    510,378.54x = 200,053,309,616.70
  5. Step 5: Solve for x
    x = 200,053,309,616.70/510,378.54
  6. Step 6: Final answer
    x = 391,970.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.