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Finding the Fourth Proportional to 298,933.47, 448,613.44 and 165,920.13

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Solution

The fourth proportional to 298,933.47, 448,613.44 and 165,920.13 is: 248,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,933.47 : 448,613.44 = 165,920.13 : x
  2. Step 2: Convert to fraction form
    298,933.47/448,613.44 = 165,920.13/x
  3. Step 3: Cross multiply
    298,933.47x = 448,613.44 × 165,920.13
  4. Step 4: Simplify right side
    298,933.47x = 74,433,999,869.75
  5. Step 5: Solve for x
    x = 74,433,999,869.75/298,933.47
  6. Step 6: Final answer
    x = 248,998.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.