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Finding the Fourth Proportional to 510,443.97, 704,400.26 and 280,999.40

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Solution

The fourth proportional to 510,443.97, 704,400.26 and 280,999.40 is: 387,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,443.97 : 704,400.26 = 280,999.40 : x
  2. Step 2: Convert to fraction form
    510,443.97/704,400.26 = 280,999.40/x
  3. Step 3: Cross multiply
    510,443.97x = 704,400.26 × 280,999.40
  4. Step 4: Simplify right side
    510,443.97x = 197,936,045,492.85
  5. Step 5: Solve for x
    x = 197,936,045,492.85/510,443.97
  6. Step 6: Final answer
    x = 387,772.33

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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.