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Finding the Fourth Proportional to 216,463.73, 298,814.78 and 165,478.58

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Solution

The fourth proportional to 216,463.73, 298,814.78 and 165,478.58 is: 228,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,463.73 : 298,814.78 = 165,478.58 : x
  2. Step 2: Convert to fraction form
    216,463.73/298,814.78 = 165,478.58/x
  3. Step 3: Cross multiply
    216,463.73x = 298,814.78 × 165,478.58
  4. Step 4: Simplify right side
    216,463.73x = 49,447,445,477.41
  5. Step 5: Solve for x
    x = 49,447,445,477.41/216,463.73
  6. Step 6: Final answer
    x = 228,432.94

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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.