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Finding the Fourth Proportional to 299,673.55, 413,542.59 and 163,708.06

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Solution

The fourth proportional to 299,673.55, 413,542.59 and 163,708.06 is: 225,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,673.55 : 413,542.59 = 163,708.06 : x
  2. Step 2: Convert to fraction form
    299,673.55/413,542.59 = 163,708.06/x
  3. Step 3: Cross multiply
    299,673.55x = 413,542.59 × 163,708.06
  4. Step 4: Simplify right side
    299,673.55x = 67,700,255,136.28
  5. Step 5: Solve for x
    x = 67,700,255,136.28/299,673.55
  6. Step 6: Final answer
    x = 225,913.35

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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.