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Finding the Fourth Proportional to 301,648.14, 416,256.03 and 165,655.62

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Solution

The fourth proportional to 301,648.14, 416,256.03 and 165,655.62 is: 228,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,648.14 : 416,256.03 = 165,655.62 : x
  2. Step 2: Convert to fraction form
    301,648.14/416,256.03 = 165,655.62/x
  3. Step 3: Cross multiply
    301,648.14x = 416,256.03 × 165,655.62
  4. Step 4: Simplify right side
    301,648.14x = 68,955,150,728.39
  5. Step 5: Solve for x
    x = 68,955,150,728.39/301,648.14
  6. Step 6: Final answer
    x = 228,594.65

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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.