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Finding the Fourth Proportional to 652,172.52, 899,616.78 and 410,071.80

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Solution

The fourth proportional to 652,172.52, 899,616.78 and 410,071.80 is: 565,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,172.52 : 899,616.78 = 410,071.80 : x
  2. Step 2: Convert to fraction form
    652,172.52/899,616.78 = 410,071.80/x
  3. Step 3: Cross multiply
    652,172.52x = 899,616.78 × 410,071.80
  4. Step 4: Simplify right side
    652,172.52x = 368,907,472,284.80
  5. Step 5: Solve for x
    x = 368,907,472,284.80/652,172.52
  6. Step 6: Final answer
    x = 565,659.33

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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.