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Finding the Fourth Proportional to 510,461.16, 704,424.42 and 284,101.80

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Solution

The fourth proportional to 510,461.16, 704,424.42 and 284,101.80 is: 392,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,461.16 : 704,424.42 = 284,101.80 : x
  2. Step 2: Convert to fraction form
    510,461.16/704,424.42 = 284,101.80/x
  3. Step 3: Cross multiply
    510,461.16x = 704,424.42 × 284,101.80
  4. Step 4: Simplify right side
    510,461.16x = 200,128,245,685.96
  5. Step 5: Solve for x
    x = 200,128,245,685.96/510,461.16
  6. Step 6: Final answer
    x = 392,053.82

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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.