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Finding the Fourth Proportional to 624,344.14, 861,384 and 406,453.60

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Solution

The fourth proportional to 624,344.14, 861,384 and 406,453.60 is: 560,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,344.14 : 861,384 = 406,453.60 : x
  2. Step 2: Convert to fraction form
    624,344.14/861,384 = 406,453.60/x
  3. Step 3: Cross multiply
    624,344.14x = 861,384 × 406,453.60
  4. Step 4: Simplify right side
    624,344.14x = 350,112,627,782.40
  5. Step 5: Solve for x
    x = 350,112,627,782.40/624,344.14
  6. Step 6: Final answer
    x = 560,768.66

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1.5x scale

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.