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Finding the Fourth Proportional to 341,414.97, 471,341.37 and 205,482.29

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Solution

The fourth proportional to 341,414.97, 471,341.37 and 205,482.29 is: 283,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,414.97 : 471,341.37 = 205,482.29 : x
  2. Step 2: Convert to fraction form
    341,414.97/471,341.37 = 205,482.29/x
  3. Step 3: Cross multiply
    341,414.97x = 471,341.37 × 205,482.29
  4. Step 4: Simplify right side
    341,414.97x = 96,852,301,722.63
  5. Step 5: Solve for x
    x = 96,852,301,722.63/341,414.97
  6. Step 6: Final answer
    x = 283,679.13

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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.