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Finding the Fourth Proportional to 301,854.40, 416,538.93 and 165,885.40

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Solution

The fourth proportional to 301,854.40, 416,538.93 and 165,885.40 is: 228,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,854.40 : 416,538.93 = 165,885.40 : x
  2. Step 2: Convert to fraction form
    301,854.40/416,538.93 = 165,885.40/x
  3. Step 3: Cross multiply
    301,854.40x = 416,538.93 × 165,885.40
  4. Step 4: Simplify right side
    301,854.40x = 69,097,727,018.62
  5. Step 5: Solve for x
    x = 69,097,727,018.62/301,854.40
  6. Step 6: Final answer
    x = 228,910.78

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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.