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Finding the Fourth Proportional to 301,301.99, 415,795.59 and 165,338.22

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Solution

The fourth proportional to 301,301.99, 415,795.59 and 165,338.22 is: 228,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,301.99 : 415,795.59 = 165,338.22 : x
  2. Step 2: Convert to fraction form
    301,301.99/415,795.59 = 165,338.22/x
  3. Step 3: Cross multiply
    301,301.99x = 415,795.59 × 165,338.22
  4. Step 4: Simplify right side
    301,301.99x = 68,746,902,734.45
  5. Step 5: Solve for x
    x = 68,746,902,734.45/301,301.99
  6. Step 6: Final answer
    x = 228,166.11

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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.