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Finding the Fourth Proportional to 289,385.71, 399,280.14 and 166,915.53

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Solution

The fourth proportional to 289,385.71, 399,280.14 and 166,915.53 is: 230,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,385.71 : 399,280.14 = 166,915.53 : x
  2. Step 2: Convert to fraction form
    289,385.71/399,280.14 = 166,915.53/x
  3. Step 3: Cross multiply
    289,385.71x = 399,280.14 × 166,915.53
  4. Step 4: Simplify right side
    289,385.71x = 66,646,056,186.57
  5. Step 5: Solve for x
    x = 66,646,056,186.57/289,385.71
  6. Step 6: Final answer
    x = 230,301.83

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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.