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Finding the Fourth Proportional to 301,526.14, 416,114 and 165,568.86

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Solution

The fourth proportional to 301,526.14, 416,114 and 165,568.86 is: 228,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,526.14 : 416,114 = 165,568.86 : x
  2. Step 2: Convert to fraction form
    301,526.14/416,114 = 165,568.86/x
  3. Step 3: Cross multiply
    301,526.14x = 416,114 × 165,568.86
  4. Step 4: Simplify right side
    301,526.14x = 68,895,520,610.04
  5. Step 5: Solve for x
    x = 68,895,520,610.04/301,526.14
  6. Step 6: Final answer
    x = 228,489.38

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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.