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Finding the Fourth Proportional to 624,351.66, 861,394.23 and 406,460.58

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Solution

The fourth proportional to 624,351.66, 861,394.23 and 406,460.58 is: 560,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,351.66 : 861,394.23 = 406,460.58 : x
  2. Step 2: Convert to fraction form
    624,351.66/861,394.23 = 406,460.58/x
  3. Step 3: Cross multiply
    624,351.66x = 861,394.23 × 406,460.58
  4. Step 4: Simplify right side
    624,351.66x = 350,122,798,334.45
  5. Step 5: Solve for x
    x = 350,122,798,334.45/624,351.66
  6. Step 6: Final answer
    x = 560,778.20

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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.