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Finding the Fourth Proportional to 299,913.61, 413,880.72 and 163,948.12

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Solution

The fourth proportional to 299,913.61, 413,880.72 and 163,948.12 is: 226,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,913.61 : 413,880.72 = 163,948.12 : x
  2. Step 2: Convert to fraction form
    299,913.61/413,880.72 = 163,948.12/x
  3. Step 3: Cross multiply
    299,913.61x = 413,880.72 × 163,948.12
  4. Step 4: Simplify right side
    299,913.61x = 67,854,965,948.25
  5. Step 5: Solve for x
    x = 67,854,965,948.25/299,913.61
  6. Step 6: Final answer
    x = 226,248.37

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1.5x scale

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.