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Finding the Fourth Proportional to 599,968.04, 827,964.74 and 406,434.94

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Solution

The fourth proportional to 599,968.04, 827,964.74 and 406,434.94 is: 560,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,968.04 : 827,964.74 = 406,434.94 : x
  2. Step 2: Convert to fraction form
    599,968.04/827,964.74 = 406,434.94/x
  3. Step 3: Cross multiply
    599,968.04x = 827,964.74 × 406,434.94
  4. Step 4: Simplify right side
    599,968.04x = 336,513,799,424.02
  5. Step 5: Solve for x
    x = 336,513,799,424.02/599,968.04
  6. Step 6: Final answer
    x = 560,886.21

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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.