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Finding the Fourth Proportional to 301,576.82, 415,824.41 and 224,962.92

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Solution

The fourth proportional to 301,576.82, 415,824.41 and 224,962.92 is: 310,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,576.82 : 415,824.41 = 224,962.92 : x
  2. Step 2: Convert to fraction form
    301,576.82/415,824.41 = 224,962.92/x
  3. Step 3: Cross multiply
    301,576.82x = 415,824.41 × 224,962.92
  4. Step 4: Simplify right side
    301,576.82x = 93,545,073,480.88
  5. Step 5: Solve for x
    x = 93,545,073,480.88/301,576.82
  6. Step 6: Final answer
    x = 310,186.55

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1.5x scale

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.