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Finding the Fourth Proportional to 599,152.32, 827,167.68 and 415,656

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Solution

The fourth proportional to 599,152.32, 827,167.68 and 415,656 is: 573,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,152.32 : 827,167.68 = 415,656 : x
  2. Step 2: Convert to fraction form
    599,152.32/827,167.68 = 415,656/x
  3. Step 3: Cross multiply
    599,152.32x = 827,167.68 × 415,656
  4. Step 4: Simplify right side
    599,152.32x = 343,817,209,198.08
  5. Step 5: Solve for x
    x = 343,817,209,198.08/599,152.32
  6. Step 6: Final answer
    x = 573,839.40

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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.