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Finding the Fourth Proportional to 340,796.80, 470,301.52 and 197,641.76

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Solution

The fourth proportional to 340,796.80, 470,301.52 and 197,641.76 is: 272,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,796.80 : 470,301.52 = 197,641.76 : x
  2. Step 2: Convert to fraction form
    340,796.80/470,301.52 = 197,641.76/x
  3. Step 3: Cross multiply
    340,796.80x = 470,301.52 × 197,641.76
  4. Step 4: Simplify right side
    340,796.80x = 92,951,220,143.48
  5. Step 5: Solve for x
    x = 92,951,220,143.48/340,796.80
  6. Step 6: Final answer
    x = 272,746.75

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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.