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Finding the Fourth Proportional to 753,808, 1,040,255.04 and 414,298.12

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Solution

The fourth proportional to 753,808, 1,040,255.04 and 414,298.12 is: 571,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,808 : 1,040,255.04 = 414,298.12 : x
  2. Step 2: Convert to fraction form
    753,808/1,040,255.04 = 414,298.12/x
  3. Step 3: Cross multiply
    753,808x = 1,040,255.04 × 414,298.12
  4. Step 4: Simplify right side
    753,808x = 430,975,707,392.53
  5. Step 5: Solve for x
    x = 430,975,707,392.53/753,808
  6. Step 6: Final answer
    x = 571,731.41

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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.