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Finding the Fourth Proportional to 299,782.13, 413,699.40 and 165,646.13

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Solution

The fourth proportional to 299,782.13, 413,699.40 and 165,646.13 is: 228,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,782.13 : 413,699.40 = 165,646.13 : x
  2. Step 2: Convert to fraction form
    299,782.13/413,699.40 = 165,646.13/x
  3. Step 3: Cross multiply
    299,782.13x = 413,699.40 × 165,646.13
  4. Step 4: Simplify right side
    299,782.13x = 68,527,702,524.83
  5. Step 5: Solve for x
    x = 68,527,702,524.83/299,782.13
  6. Step 6: Final answer
    x = 228,591.69

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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.