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Finding the Fourth Proportional to 301,639.55, 416,267.61 and 165,686.07

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Solution

The fourth proportional to 301,639.55, 416,267.61 and 165,686.07 is: 228,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,639.55 : 416,267.61 = 165,686.07 : x
  2. Step 2: Convert to fraction form
    301,639.55/416,267.61 = 165,686.07/x
  3. Step 3: Cross multiply
    301,639.55x = 416,267.61 × 165,686.07
  4. Step 4: Simplify right side
    301,639.55x = 68,969,745,308.87
  5. Step 5: Solve for x
    x = 68,969,745,308.87/301,639.55
  6. Step 6: Final answer
    x = 228,649.55

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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.