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Finding the Fourth Proportional to 301,600.62, 416,209.37 and 165,643.34

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Solution

The fourth proportional to 301,600.62, 416,209.37 and 165,643.34 is: 228,588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,600.62 : 416,209.37 = 165,643.34 : x
  2. Step 2: Convert to fraction form
    301,600.62/416,209.37 = 165,643.34/x
  3. Step 3: Cross multiply
    301,600.62x = 416,209.37 × 165,643.34
  4. Step 4: Simplify right side
    301,600.62x = 68,942,307,276.83
  5. Step 5: Solve for x
    x = 68,942,307,276.83/301,600.62
  6. Step 6: Final answer
    x = 228,588.08

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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.