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Finding the Fourth Proportional to 561,605.40, 842,408.10 and 224,807.40

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Solution

The fourth proportional to 561,605.40, 842,408.10 and 224,807.40 is: 337,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,605.40 : 842,408.10 = 224,807.40 : x
  2. Step 2: Convert to fraction form
    561,605.40/842,408.10 = 224,807.40/x
  3. Step 3: Cross multiply
    561,605.40x = 842,408.10 × 224,807.40
  4. Step 4: Simplify right side
    561,605.40x = 189,379,574,699.94
  5. Step 5: Solve for x
    x = 189,379,574,699.94/561,605.40
  6. Step 6: Final answer
    x = 337,211.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.