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Finding the Fourth Proportional to 349,161.84, 523,729.80 and 207,984.24

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Solution

The fourth proportional to 349,161.84, 523,729.80 and 207,984.24 is: 311,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,161.84 : 523,729.80 = 207,984.24 : x
  2. Step 2: Convert to fraction form
    349,161.84/523,729.80 = 207,984.24/x
  3. Step 3: Cross multiply
    349,161.84x = 523,729.80 × 207,984.24
  4. Step 4: Simplify right side
    349,161.84x = 108,927,544,418.35
  5. Step 5: Solve for x
    x = 108,927,544,418.35/349,161.84
  6. Step 6: Final answer
    x = 311,968.64

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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.