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Finding the Fourth Proportional to 301,622.26, 416,238.64 and 165,656.24

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Solution

The fourth proportional to 301,622.26, 416,238.64 and 165,656.24 is: 228,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,622.26 : 416,238.64 = 165,656.24 : x
  2. Step 2: Convert to fraction form
    301,622.26/416,238.64 = 165,656.24/x
  3. Step 3: Cross multiply
    301,622.26x = 416,238.64 × 165,656.24
  4. Step 4: Simplify right side
    301,622.26x = 68,952,528,045.11
  5. Step 5: Solve for x
    x = 68,952,528,045.11/301,622.26
  6. Step 6: Final answer
    x = 228,605.57

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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.