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Finding the Fourth Proportional to 330,193.50, 455,677.86 and 186,950.47

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Solution

The fourth proportional to 330,193.50, 455,677.86 and 186,950.47 is: 257,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,193.50 : 455,677.86 = 186,950.47 : x
  2. Step 2: Convert to fraction form
    330,193.50/455,677.86 = 186,950.47/x
  3. Step 3: Cross multiply
    330,193.50x = 455,677.86 × 186,950.47
  4. Step 4: Simplify right side
    330,193.50x = 85,189,190,095.59
  5. Step 5: Solve for x
    x = 85,189,190,095.59/330,193.50
  6. Step 6: Final answer
    x = 257,997.78

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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.