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Finding the Fourth Proportional to 364,284.20, 546,207.60 and 187,137.20

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Solution

The fourth proportional to 364,284.20, 546,207.60 and 187,137.20 is: 280,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,284.20 : 546,207.60 = 187,137.20 : x
  2. Step 2: Convert to fraction form
    364,284.20/546,207.60 = 187,137.20/x
  3. Step 3: Cross multiply
    364,284.20x = 546,207.60 × 187,137.20
  4. Step 4: Simplify right side
    364,284.20x = 102,215,760,882.72
  5. Step 5: Solve for x
    x = 102,215,760,882.72/364,284.20
  6. Step 6: Final answer
    x = 280,593.45

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1.5x scale

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.