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Finding the Fourth Proportional to 261,468,271.20, 392,202,406.80 and 232,802,824.80

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Solution

The fourth proportional to 261,468,271.20, 392,202,406.80 and 232,802,824.80 is: 349,204,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,468,271.20 : 392,202,406.80 = 232,802,824.80 : x
  2. Step 2: Convert to fraction form
    261,468,271.20/392,202,406.80 = 232,802,824.80/x
  3. Step 3: Cross multiply
    261,468,271.20x = 392,202,406.80 × 232,802,824.80
  4. Step 4: Simplify right side
    261,468,271.20x = 91,305,828,196,398,736
  5. Step 5: Solve for x
    x = 91,305,828,196,398,736/261,468,271.20
  6. Step 6: Final answer
    x = 349,204,237.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.