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Finding the Fourth Proportional to 339,125.94, 468,058.70 and 224,406.86

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Solution

The fourth proportional to 339,125.94, 468,058.70 and 224,406.86 is: 309,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,125.94 : 468,058.70 = 224,406.86 : x
  2. Step 2: Convert to fraction form
    339,125.94/468,058.70 = 224,406.86/x
  3. Step 3: Cross multiply
    339,125.94x = 468,058.70 × 224,406.86
  4. Step 4: Simplify right side
    339,125.94x = 105,035,581,383.41
  5. Step 5: Solve for x
    x = 105,035,581,383.41/339,125.94
  6. Step 6: Final answer
    x = 309,724.41

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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.