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Finding the Fourth Proportional to 510,400.48, 704,273.20 and 284,045.28

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Solution

The fourth proportional to 510,400.48, 704,273.20 and 284,045.28 is: 391,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,400.48 : 704,273.20 = 284,045.28 : x
  2. Step 2: Convert to fraction form
    510,400.48/704,273.20 = 284,045.28/x
  3. Step 3: Cross multiply
    510,400.48x = 704,273.20 × 284,045.28
  4. Step 4: Simplify right side
    510,400.48x = 200,045,478,290.50
  5. Step 5: Solve for x
    x = 200,045,478,290.50/510,400.48
  6. Step 6: Final answer
    x = 391,938.26

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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.