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Finding the Fourth Proportional to 349,384.35, 524,076.12 and 109,499.88

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Solution

The fourth proportional to 349,384.35, 524,076.12 and 109,499.88 is: 164,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,384.35 : 524,076.12 = 109,499.88 : x
  2. Step 2: Convert to fraction form
    349,384.35/524,076.12 = 109,499.88/x
  3. Step 3: Cross multiply
    349,384.35x = 524,076.12 × 109,499.88
  4. Step 4: Simplify right side
    349,384.35x = 57,386,272,250.87
  5. Step 5: Solve for x
    x = 57,386,272,250.87/349,384.35
  6. Step 6: Final answer
    x = 164,249.69

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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.