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Finding the Fourth Proportional to 413,568.60, 619,316.10 and 330,624.60

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Solution

The fourth proportional to 413,568.60, 619,316.10 and 330,624.60 is: 495,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,568.60 : 619,316.10 = 330,624.60 : x
  2. Step 2: Convert to fraction form
    413,568.60/619,316.10 = 330,624.60/x
  3. Step 3: Cross multiply
    413,568.60x = 619,316.10 × 330,624.60
  4. Step 4: Simplify right side
    413,568.60x = 204,761,137,836.06
  5. Step 5: Solve for x
    x = 204,761,137,836.06/413,568.60
  6. Step 6: Final answer
    x = 495,108.04

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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.