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Finding the Fourth Proportional to 301,603.64, 416,194.62 and 165,611.12

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Solution

The fourth proportional to 301,603.64, 416,194.62 and 165,611.12 is: 228,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,603.64 : 416,194.62 = 165,611.12 : x
  2. Step 2: Convert to fraction form
    301,603.64/416,194.62 = 165,611.12/x
  3. Step 3: Cross multiply
    301,603.64x = 416,194.62 × 165,611.12
  4. Step 4: Simplify right side
    301,603.64x = 68,926,457,156.17
  5. Step 5: Solve for x
    x = 68,926,457,156.17/301,603.64
  6. Step 6: Final answer
    x = 228,533.24

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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.