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Finding the Fourth Proportional to 299,062.11, 412,472.45 and 191,642.14

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Solution

The fourth proportional to 299,062.11, 412,472.45 and 191,642.14 is: 264,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,062.11 : 412,472.45 = 191,642.14 : x
  2. Step 2: Convert to fraction form
    299,062.11/412,472.45 = 191,642.14/x
  3. Step 3: Cross multiply
    299,062.11x = 412,472.45 × 191,642.14
  4. Step 4: Simplify right side
    299,062.11x = 79,047,103,423.70
  5. Step 5: Solve for x
    x = 79,047,103,423.70/299,062.11
  6. Step 6: Final answer
    x = 264,316.68

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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.