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Finding the Fourth Proportional to 410,310, 566,247.36 and 231,462

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Solution

The fourth proportional to 410,310, 566,247.36 and 231,462 is: 319,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,310 : 566,247.36 = 231,462 : x
  2. Step 2: Convert to fraction form
    410,310/566,247.36 = 231,462/x
  3. Step 3: Cross multiply
    410,310x = 566,247.36 × 231,462
  4. Step 4: Simplify right side
    410,310x = 131,064,746,440.32
  5. Step 5: Solve for x
    x = 131,064,746,440.32/410,310
  6. Step 6: Final answer
    x = 319,428.59

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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.