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Finding the Fourth Proportional to 406,865.76, 561,507.84 and 225,595.68

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Solution

The fourth proportional to 406,865.76, 561,507.84 and 225,595.68 is: 311,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,865.76 : 561,507.84 = 225,595.68 : x
  2. Step 2: Convert to fraction form
    406,865.76/561,507.84 = 225,595.68/x
  3. Step 3: Cross multiply
    406,865.76x = 561,507.84 × 225,595.68
  4. Step 4: Simplify right side
    406,865.76x = 126,673,742,990.13
  5. Step 5: Solve for x
    x = 126,673,742,990.13/406,865.76
  6. Step 6: Final answer
    x = 311,340.39

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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.