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Finding the Fourth Proportional to 299,648.00, 413,515.64 and 163,683.83

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Solution

The fourth proportional to 299,648.00, 413,515.64 and 163,683.83 is: 225,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,648.00 : 413,515.64 = 163,683.83 : x
  2. Step 2: Convert to fraction form
    299,648.00/413,515.64 = 163,683.83/x
  3. Step 3: Cross multiply
    299,648.00x = 413,515.64 × 163,683.83
  4. Step 4: Simplify right side
    299,648.00x = 67,685,822,061.73
  5. Step 5: Solve for x
    x = 67,685,822,061.73/299,648.00
  6. Step 6: Final answer
    x = 225,884.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.