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Finding the Fourth Proportional to 381,202, 525,714.36 and 237,975.28

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Solution

The fourth proportional to 381,202, 525,714.36 and 237,975.28 is: 328,190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,202 : 525,714.36 = 237,975.28 : x
  2. Step 2: Convert to fraction form
    381,202/525,714.36 = 237,975.28/x
  3. Step 3: Cross multiply
    381,202x = 525,714.36 × 237,975.28
  4. Step 4: Simplify right side
    381,202x = 125,107,022,021.02
  5. Step 5: Solve for x
    x = 125,107,022,021.02/381,202
  6. Step 6: Final answer
    x = 328,190.89

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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.