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Finding the Fourth Proportional to 410,650.40, 566,696.40 and 231,802.40

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Solution

The fourth proportional to 410,650.40, 566,696.40 and 231,802.40 is: 319,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,650.40 : 566,696.40 = 231,802.40 : x
  2. Step 2: Convert to fraction form
    410,650.40/566,696.40 = 231,802.40/x
  3. Step 3: Cross multiply
    410,650.40x = 566,696.40 × 231,802.40
  4. Step 4: Simplify right side
    410,650.40x = 131,361,585,591.36
  5. Step 5: Solve for x
    x = 131,361,585,591.36/410,650.40
  6. Step 6: Final answer
    x = 319,886.66

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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.