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Finding the Fourth Proportional to 299,174.15, 414,606.95 and 293,496.84

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Solution

The fourth proportional to 299,174.15, 414,606.95 and 293,496.84 is: 406,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,174.15 : 414,606.95 = 293,496.84 : x
  2. Step 2: Convert to fraction form
    299,174.15/414,606.95 = 293,496.84/x
  3. Step 3: Cross multiply
    299,174.15x = 414,606.95 × 293,496.84
  4. Step 4: Simplify right side
    299,174.15x = 121,685,829,300.17
  5. Step 5: Solve for x
    x = 121,685,829,300.17/299,174.15
  6. Step 6: Final answer
    x = 406,739.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.