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Finding the Fourth Proportional to 341,046.60, 470,520.90 and 197,727.72

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Solution

The fourth proportional to 341,046.60, 470,520.90 and 197,727.72 is: 272,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,046.60 : 470,520.90 = 197,727.72 : x
  2. Step 2: Convert to fraction form
    341,046.60/470,520.90 = 197,727.72/x
  3. Step 3: Cross multiply
    341,046.60x = 470,520.90 × 197,727.72
  4. Step 4: Simplify right side
    341,046.60x = 93,035,024,769.35
  5. Step 5: Solve for x
    x = 93,035,024,769.35/341,046.60
  6. Step 6: Final answer
    x = 272,792.71

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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.