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Finding the Fourth Proportional to 299,690.63, 413,573.06 and 165,554.63

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Solution

The fourth proportional to 299,690.63, 413,573.06 and 165,554.63 is: 228,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,690.63 : 413,573.06 = 165,554.63 : x
  2. Step 2: Convert to fraction form
    299,690.63/413,573.06 = 165,554.63/x
  3. Step 3: Cross multiply
    299,690.63x = 413,573.06 × 165,554.63
  4. Step 4: Simplify right side
    299,690.63x = 68,468,933,272.29
  5. Step 5: Solve for x
    x = 68,468,933,272.29/299,690.63
  6. Step 6: Final answer
    x = 228,465.38

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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.