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Finding the Fourth Proportional to 349,768.10, 524,652.15 and 279,784.10

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Solution

The fourth proportional to 349,768.10, 524,652.15 and 279,784.10 is: 419,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,768.10 : 524,652.15 = 279,784.10 : x
  2. Step 2: Convert to fraction form
    349,768.10/524,652.15 = 279,784.10/x
  3. Step 3: Cross multiply
    349,768.10x = 524,652.15 × 279,784.10
  4. Step 4: Simplify right side
    349,768.10x = 146,789,329,600.82
  5. Step 5: Solve for x
    x = 146,789,329,600.82/349,768.10
  6. Step 6: Final answer
    x = 419,676.15

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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.