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Finding the Fourth Proportional to 301,310.61, 415,807.50 and 165,346.83

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Solution

The fourth proportional to 301,310.61, 415,807.50 and 165,346.83 is: 228,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,310.61 : 415,807.50 = 165,346.83 : x
  2. Step 2: Convert to fraction form
    301,310.61/415,807.50 = 165,346.83/x
  3. Step 3: Cross multiply
    301,310.61x = 415,807.50 × 165,346.83
  4. Step 4: Simplify right side
    301,310.61x = 68,752,452,015.23
  5. Step 5: Solve for x
    x = 68,752,452,015.23/301,310.61
  6. Step 6: Final answer
    x = 228,178.00

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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.