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Finding the Fourth Proportional to 409,599.51, 614,520.24 and 210,059.69

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Solution

The fourth proportional to 409,599.51, 614,520.24 and 210,059.69 is: 315,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,599.51 : 614,520.24 = 210,059.69 : x
  2. Step 2: Convert to fraction form
    409,599.51/614,520.24 = 210,059.69/x
  3. Step 3: Cross multiply
    409,599.51x = 614,520.24 × 210,059.69
  4. Step 4: Simplify right side
    409,599.51x = 129,085,928,040.52
  5. Step 5: Solve for x
    x = 129,085,928,040.52/409,599.51
  6. Step 6: Final answer
    x = 315,151.57

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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.