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Finding the Fourth Proportional to 228,032.20, 342,048.30 and 224,921.80

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Solution

The fourth proportional to 228,032.20, 342,048.30 and 224,921.80 is: 337,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,032.20 : 342,048.30 = 224,921.80 : x
  2. Step 2: Convert to fraction form
    228,032.20/342,048.30 = 224,921.80/x
  3. Step 3: Cross multiply
    228,032.20x = 342,048.30 × 224,921.80
  4. Step 4: Simplify right side
    228,032.20x = 76,934,119,322.94
  5. Step 5: Solve for x
    x = 76,934,119,322.94/228,032.20
  6. Step 6: Final answer
    x = 337,382.70

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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.