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Finding the Fourth Proportional to 589,256.62, 884,325.14 and 399,266.47

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Solution

The fourth proportional to 589,256.62, 884,325.14 and 399,266.47 is: 599,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,256.62 : 884,325.14 = 399,266.47 : x
  2. Step 2: Convert to fraction form
    589,256.62/884,325.14 = 399,266.47/x
  3. Step 3: Cross multiply
    589,256.62x = 884,325.14 × 399,266.47
  4. Step 4: Simplify right side
    589,256.62x = 353,081,374,857.92
  5. Step 5: Solve for x
    x = 353,081,374,857.92/589,256.62
  6. Step 6: Final answer
    x = 599,197.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.