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Finding the Fourth Proportional to 508,152, 701,199.36 and 293,361.36

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Solution

The fourth proportional to 508,152, 701,199.36 and 293,361.36 is: 404,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,152 : 701,199.36 = 293,361.36 : x
  2. Step 2: Convert to fraction form
    508,152/701,199.36 = 293,361.36/x
  3. Step 3: Cross multiply
    508,152x = 701,199.36 × 293,361.36
  4. Step 4: Simplify right side
    508,152x = 205,704,797,880.73
  5. Step 5: Solve for x
    x = 205,704,797,880.73/508,152
  6. Step 6: Final answer
    x = 404,809.58

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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.