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Finding the Fourth Proportional to 510,592.04, 704,616.76 and 284,291

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Solution

The fourth proportional to 510,592.04, 704,616.76 and 284,291 is: 392,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,592.04 : 704,616.76 = 284,291 : x
  2. Step 2: Convert to fraction form
    510,592.04/704,616.76 = 284,291/x
  3. Step 3: Cross multiply
    510,592.04x = 704,616.76 × 284,291
  4. Step 4: Simplify right side
    510,592.04x = 200,316,203,317.16
  5. Step 5: Solve for x
    x = 200,316,203,317.16/510,592.04
  6. Step 6: Final answer
    x = 392,321.44

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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.