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Finding the Fourth Proportional to 299,513.08, 413,326.02 and 165,377.08

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Solution

The fourth proportional to 299,513.08, 413,326.02 and 165,377.08 is: 228,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,513.08 : 413,326.02 = 165,377.08 : x
  2. Step 2: Convert to fraction form
    299,513.08/413,326.02 = 165,377.08/x
  3. Step 3: Cross multiply
    299,513.08x = 413,326.02 × 165,377.08
  4. Step 4: Simplify right side
    299,513.08x = 68,354,650,275.62
  5. Step 5: Solve for x
    x = 68,354,650,275.62/299,513.08
  6. Step 6: Final answer
    x = 228,219.25

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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.