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Finding the Fourth Proportional to 647,182.56, 970,776 and 197,901.60

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Solution

The fourth proportional to 647,182.56, 970,776 and 197,901.60 is: 296,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,182.56 : 970,776 = 197,901.60 : x
  2. Step 2: Convert to fraction form
    647,182.56/970,776 = 197,901.60/x
  3. Step 3: Cross multiply
    647,182.56x = 970,776 × 197,901.60
  4. Step 4: Simplify right side
    647,182.56x = 192,118,123,641.60
  5. Step 5: Solve for x
    x = 192,118,123,641.60/647,182.56
  6. Step 6: Final answer
    x = 296,853.06

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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.