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Finding the Fourth Proportional to 466,130.04, 699,195.42 and 199,717.80

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Solution

The fourth proportional to 466,130.04, 699,195.42 and 199,717.80 is: 299,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,130.04 : 699,195.42 = 199,717.80 : x
  2. Step 2: Convert to fraction form
    466,130.04/699,195.42 = 199,717.80/x
  3. Step 3: Cross multiply
    466,130.04x = 699,195.42 × 199,717.80
  4. Step 4: Simplify right side
    466,130.04x = 139,641,771,052.48
  5. Step 5: Solve for x
    x = 139,641,771,052.48/466,130.04
  6. Step 6: Final answer
    x = 299,576.85

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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.