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Finding the Fourth Proportional to 599,964.03, 827,959.22 and 406,430.94

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Solution

The fourth proportional to 599,964.03, 827,959.22 and 406,430.94 is: 560,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,964.03 : 827,959.22 = 406,430.94 : x
  2. Step 2: Convert to fraction form
    599,964.03/827,959.22 = 406,430.94/x
  3. Step 3: Cross multiply
    599,964.03x = 827,959.22 × 406,430.94
  4. Step 4: Simplify right side
    599,964.03x = 336,508,242,034.11
  5. Step 5: Solve for x
    x = 336,508,242,034.11/599,964.03
  6. Step 6: Final answer
    x = 560,880.69

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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.