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Finding the Fourth Proportional to 294,449.86, 406,350.80 and 165,411.10

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Solution

The fourth proportional to 294,449.86, 406,350.80 and 165,411.10 is: 228,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,449.86 : 406,350.80 = 165,411.10 : x
  2. Step 2: Convert to fraction form
    294,449.86/406,350.80 = 165,411.10/x
  3. Step 3: Cross multiply
    294,449.86x = 406,350.80 × 165,411.10
  4. Step 4: Simplify right side
    294,449.86x = 67,214,932,813.88
  5. Step 5: Solve for x
    x = 67,214,932,813.88/294,449.86
  6. Step 6: Final answer
    x = 228,272.93

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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.