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Finding the Fourth Proportional to 291,349.14, 402,069.33 and 164,029.29

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Solution

The fourth proportional to 291,349.14, 402,069.33 and 164,029.29 is: 226,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,349.14 : 402,069.33 = 164,029.29 : x
  2. Step 2: Convert to fraction form
    291,349.14/402,069.33 = 164,029.29/x
  3. Step 3: Cross multiply
    291,349.14x = 402,069.33 × 164,029.29
  4. Step 4: Simplify right side
    291,349.14x = 65,951,146,730.68
  5. Step 5: Solve for x
    x = 65,951,146,730.68/291,349.14
  6. Step 6: Final answer
    x = 226,364.65

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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.