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Finding the Fourth Proportional to 413,088.52, 619,574.22 and 132,568.84

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Solution

The fourth proportional to 413,088.52, 619,574.22 and 132,568.84 is: 198,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,088.52 : 619,574.22 = 132,568.84 : x
  2. Step 2: Convert to fraction form
    413,088.52/619,574.22 = 132,568.84/x
  3. Step 3: Cross multiply
    413,088.52x = 619,574.22 × 132,568.84
  4. Step 4: Simplify right side
    413,088.52x = 82,136,235,639.30
  5. Step 5: Solve for x
    x = 82,136,235,639.30/413,088.52
  6. Step 6: Final answer
    x = 198,834.47

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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.