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Finding the Fourth Proportional to 467,509.10, 701,300.10 and 201,278.30

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Solution

The fourth proportional to 467,509.10, 701,300.10 and 201,278.30 is: 301,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,509.10 : 701,300.10 = 201,278.30 : x
  2. Step 2: Convert to fraction form
    467,509.10/701,300.10 = 201,278.30/x
  3. Step 3: Cross multiply
    467,509.10x = 701,300.10 × 201,278.30
  4. Step 4: Simplify right side
    467,509.10x = 141,156,491,917.83
  5. Step 5: Solve for x
    x = 141,156,491,917.83/467,509.10
  6. Step 6: Final answer
    x = 301,933.14

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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.