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Finding the Fourth Proportional to 297,284.16, 410,080.56 and 189,732.96

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Solution

The fourth proportional to 297,284.16, 410,080.56 and 189,732.96 is: 261,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,284.16 : 410,080.56 = 189,732.96 : x
  2. Step 2: Convert to fraction form
    297,284.16/410,080.56 = 189,732.96/x
  3. Step 3: Cross multiply
    297,284.16x = 410,080.56 × 189,732.96
  4. Step 4: Simplify right side
    297,284.16x = 77,805,798,487.26
  5. Step 5: Solve for x
    x = 77,805,798,487.26/297,284.16
  6. Step 6: Final answer
    x = 261,721.98

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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.