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Finding the Fourth Proportional to 477,150.34, 715,725.72 and 224,245.24

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Solution

The fourth proportional to 477,150.34, 715,725.72 and 224,245.24 is: 336,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,150.34 : 715,725.72 = 224,245.24 : x
  2. Step 2: Convert to fraction form
    477,150.34/715,725.72 = 224,245.24/x
  3. Step 3: Cross multiply
    477,150.34x = 715,725.72 × 224,245.24
  4. Step 4: Simplify right side
    477,150.34x = 160,498,085,855.57
  5. Step 5: Solve for x
    x = 160,498,085,855.57/477,150.34
  6. Step 6: Final answer
    x = 336,367.96

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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.