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Finding the Fourth Proportional to 406,924.16, 561,569.22 and 225,625.50

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Solution

The fourth proportional to 406,924.16, 561,569.22 and 225,625.50 is: 311,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,924.16 : 561,569.22 = 225,625.50 : x
  2. Step 2: Convert to fraction form
    406,924.16/561,569.22 = 225,625.50/x
  3. Step 3: Cross multiply
    406,924.16x = 561,569.22 × 225,625.50
  4. Step 4: Simplify right side
    406,924.16x = 126,704,336,047.11
  5. Step 5: Solve for x
    x = 126,704,336,047.11/406,924.16
  6. Step 6: Final answer
    x = 311,370.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.