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Finding the Fourth Proportional to 301,953.89, 416,705.69 and 165,998.23

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Solution

The fourth proportional to 301,953.89, 416,705.69 and 165,998.23 is: 229,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,953.89 : 416,705.69 = 165,998.23 : x
  2. Step 2: Convert to fraction form
    301,953.89/416,705.69 = 165,998.23/x
  3. Step 3: Cross multiply
    301,953.89x = 416,705.69 × 165,998.23
  4. Step 4: Simplify right side
    301,953.89x = 69,172,406,970.93
  5. Step 5: Solve for x
    x = 69,172,406,970.93/301,953.89
  6. Step 6: Final answer
    x = 229,082.68

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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.