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Finding the Fourth Proportional to 405,502.87, 559,554.46 and 224,189.98

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Solution

The fourth proportional to 405,502.87, 559,554.46 and 224,189.98 is: 309,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,502.87 : 559,554.46 = 224,189.98 : x
  2. Step 2: Convert to fraction form
    405,502.87/559,554.46 = 224,189.98/x
  3. Step 3: Cross multiply
    405,502.87x = 559,554.46 × 224,189.98
  4. Step 4: Simplify right side
    405,502.87x = 125,446,503,196.31
  5. Step 5: Solve for x
    x = 125,446,503,196.31/405,502.87
  6. Step 6: Final answer
    x = 309,360.33

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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.