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Finding the Fourth Proportional to 510,406.30, 704,353.77 and 284,051.80

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Solution

The fourth proportional to 510,406.30, 704,353.77 and 284,051.80 is: 391,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,406.30 : 704,353.77 = 284,051.80 : x
  2. Step 2: Convert to fraction form
    510,406.30/704,353.77 = 284,051.80/x
  3. Step 3: Cross multiply
    510,406.30x = 704,353.77 × 284,051.80
  4. Step 4: Simplify right side
    510,406.30x = 200,072,956,205.29
  5. Step 5: Solve for x
    x = 200,072,956,205.29/510,406.30
  6. Step 6: Final answer
    x = 391,987.63

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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.