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Finding the Fourth Proportional to 299,434.26, 413,225.52 and 163,473.94

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Solution

The fourth proportional to 299,434.26, 413,225.52 and 163,473.94 is: 225,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,434.26 : 413,225.52 = 163,473.94 : x
  2. Step 2: Convert to fraction form
    299,434.26/413,225.52 = 163,473.94/x
  3. Step 3: Cross multiply
    299,434.26x = 413,225.52 × 163,473.94
  4. Step 4: Simplify right side
    299,434.26x = 67,551,603,862.95
  5. Step 5: Solve for x
    x = 67,551,603,862.95/299,434.26
  6. Step 6: Final answer
    x = 225,597.44

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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.