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Finding the Fourth Proportional to 289,117.72, 399,012.78 and 161,824.60

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Solution

The fourth proportional to 289,117.72, 399,012.78 and 161,824.60 is: 223,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,117.72 : 399,012.78 = 161,824.60 : x
  2. Step 2: Convert to fraction form
    289,117.72/399,012.78 = 161,824.60/x
  3. Step 3: Cross multiply
    289,117.72x = 399,012.78 × 161,824.60
  4. Step 4: Simplify right side
    289,117.72x = 64,570,083,518.39
  5. Step 5: Solve for x
    x = 64,570,083,518.39/289,117.72
  6. Step 6: Final answer
    x = 223,334.92

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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.