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Finding the Fourth Proportional to 407,133.63, 561,799.05 and 225,800.13

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Solution

The fourth proportional to 407,133.63, 561,799.05 and 225,800.13 is: 311,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,133.63 : 561,799.05 = 225,800.13 : x
  2. Step 2: Convert to fraction form
    407,133.63/561,799.05 = 225,800.13/x
  3. Step 3: Cross multiply
    407,133.63x = 561,799.05 × 225,800.13
  4. Step 4: Simplify right side
    407,133.63x = 126,854,298,523.88
  5. Step 5: Solve for x
    x = 126,854,298,523.88/407,133.63
  6. Step 6: Final answer
    x = 311,579.02

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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.