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Finding the Fourth Proportional to 406,969.67, 561,590.74 and 225,674.93

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Solution

The fourth proportional to 406,969.67, 561,590.74 and 225,674.93 is: 311,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,969.67 : 561,590.74 = 225,674.93 : x
  2. Step 2: Convert to fraction form
    406,969.67/561,590.74 = 225,674.93/x
  3. Step 3: Cross multiply
    406,969.67x = 561,590.74 × 225,674.93
  4. Step 4: Simplify right side
    406,969.67x = 126,736,950,938.15
  5. Step 5: Solve for x
    x = 126,736,950,938.15/406,969.67
  6. Step 6: Final answer
    x = 311,416.21

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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.