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Finding the Fourth Proportional to 299,041.36, 412,656.24 and 168,238.72

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Solution

The fourth proportional to 299,041.36, 412,656.24 and 168,238.72 is: 232,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,041.36 : 412,656.24 = 168,238.72 : x
  2. Step 2: Convert to fraction form
    299,041.36/412,656.24 = 168,238.72/x
  3. Step 3: Cross multiply
    299,041.36x = 412,656.24 × 168,238.72
  4. Step 4: Simplify right side
    299,041.36x = 69,424,757,617.61
  5. Step 5: Solve for x
    x = 69,424,757,617.61/299,041.36
  6. Step 6: Final answer
    x = 232,157.71

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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.