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Finding the Fourth Proportional to 717,771.14, 990,546.61 and 411,903.47

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Solution

The fourth proportional to 717,771.14, 990,546.61 and 411,903.47 is: 568,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,771.14 : 990,546.61 = 411,903.47 : x
  2. Step 2: Convert to fraction form
    717,771.14/990,546.61 = 411,903.47/x
  3. Step 3: Cross multiply
    717,771.14x = 990,546.61 × 411,903.47
  4. Step 4: Simplify right side
    717,771.14x = 408,009,587,302.35
  5. Step 5: Solve for x
    x = 408,009,587,302.35/717,771.14
  6. Step 6: Final answer
    x = 568,439.66

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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.