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Finding the Fourth Proportional to 301,874.09, 416,595.61 and 165,905.56

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Solution

The fourth proportional to 301,874.09, 416,595.61 and 165,905.56 is: 228,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,874.09 : 416,595.61 = 165,905.56 : x
  2. Step 2: Convert to fraction form
    301,874.09/416,595.61 = 165,905.56/x
  3. Step 3: Cross multiply
    301,874.09x = 416,595.61 × 165,905.56
  4. Step 4: Simplify right side
    301,874.09x = 69,115,527,970.59
  5. Step 5: Solve for x
    x = 69,115,527,970.59/301,874.09
  6. Step 6: Final answer
    x = 228,954.82

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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.