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Finding the Fourth Proportional to 299,064.21, 412,475.34 and 191,644.24

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Solution

The fourth proportional to 299,064.21, 412,475.34 and 191,644.24 is: 264,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,064.21 : 412,475.34 = 191,644.24 : x
  2. Step 2: Convert to fraction form
    299,064.21/412,475.34 = 191,644.24/x
  3. Step 3: Cross multiply
    299,064.21x = 412,475.34 × 191,644.24
  4. Step 4: Simplify right side
    299,064.21x = 79,048,523,053.04
  5. Step 5: Solve for x
    x = 79,048,523,053.04/299,064.21
  6. Step 6: Final answer
    x = 264,319.57

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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.