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Finding the Fourth Proportional to 275,497.37, 380,212.39 and 160,766.74

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Solution

The fourth proportional to 275,497.37, 380,212.39 and 160,766.74 is: 221,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,497.37 : 380,212.39 = 160,766.74 : x
  2. Step 2: Convert to fraction form
    275,497.37/380,212.39 = 160,766.74/x
  3. Step 3: Cross multiply
    275,497.37x = 380,212.39 × 160,766.74
  4. Step 4: Simplify right side
    275,497.37x = 61,125,506,447.91
  5. Step 5: Solve for x
    x = 61,125,506,447.91/275,497.37
  6. Step 6: Final answer
    x = 221,873.28

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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.