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Finding the Fourth Proportional to 619,423.92, 929,048.40 and 198,645.12

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Solution

The fourth proportional to 619,423.92, 929,048.40 and 198,645.12 is: 297,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,423.92 : 929,048.40 = 198,645.12 : x
  2. Step 2: Convert to fraction form
    619,423.92/929,048.40 = 198,645.12/x
  3. Step 3: Cross multiply
    619,423.92x = 929,048.40 × 198,645.12
  4. Step 4: Simplify right side
    619,423.92x = 184,550,930,903.81
  5. Step 5: Solve for x
    x = 184,550,930,903.81/619,423.92
  6. Step 6: Final answer
    x = 297,939.63

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Why These Related Problems?

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