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Finding the Fourth Proportional to 301,385.32, 415,928.10 and 167,252.20

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Solution

The fourth proportional to 301,385.32, 415,928.10 and 167,252.20 is: 230,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,385.32 : 415,928.10 = 167,252.20 : x
  2. Step 2: Convert to fraction form
    301,385.32/415,928.10 = 167,252.20/x
  3. Step 3: Cross multiply
    301,385.32x = 415,928.10 × 167,252.20
  4. Step 4: Simplify right side
    301,385.32x = 69,564,889,766.82
  5. Step 5: Solve for x
    x = 69,564,889,766.82/301,385.32
  6. Step 6: Final answer
    x = 230,817.11

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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.