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Finding the Fourth Proportional to 405,570.30, 559,676.43 and 224,277.18

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Solution

The fourth proportional to 405,570.30, 559,676.43 and 224,277.18 is: 309,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,570.30 : 559,676.43 = 224,277.18 : x
  2. Step 2: Convert to fraction form
    405,570.30/559,676.43 = 224,277.18/x
  3. Step 3: Cross multiply
    405,570.30x = 559,676.43 × 224,277.18
  4. Step 4: Simplify right side
    405,570.30x = 125,522,651,432.87
  5. Step 5: Solve for x
    x = 125,522,651,432.87/405,570.30
  6. Step 6: Final answer
    x = 309,496.66

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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.