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Finding the Fourth Proportional to 301,607.11, 416,220.66 and 165,643.87

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Solution

The fourth proportional to 301,607.11, 416,220.66 and 165,643.87 is: 228,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,607.11 : 416,220.66 = 165,643.87 : x
  2. Step 2: Convert to fraction form
    301,607.11/416,220.66 = 165,643.87/x
  3. Step 3: Cross multiply
    301,607.11x = 416,220.66 × 165,643.87
  4. Step 4: Simplify right side
    301,607.11x = 68,944,400,896.35
  5. Step 5: Solve for x
    x = 68,944,400,896.35/301,607.11
  6. Step 6: Final answer
    x = 228,590.10

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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.