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Finding the Fourth Proportional to 264,106.30, 395,722.05 and 224,740.30

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Solution

The fourth proportional to 264,106.30, 395,722.05 and 224,740.30 is: 336,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,106.30 : 395,722.05 = 224,740.30 : x
  2. Step 2: Convert to fraction form
    264,106.30/395,722.05 = 224,740.30/x
  3. Step 3: Cross multiply
    264,106.30x = 395,722.05 × 224,740.30
  4. Step 4: Simplify right side
    264,106.30x = 88,934,692,233.62
  5. Step 5: Solve for x
    x = 88,934,692,233.62/264,106.30
  6. Step 6: Final answer
    x = 336,738.25

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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.