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Finding the Fourth Proportional to 289,778.46, 399,913.47 and 162,462.30

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Solution

The fourth proportional to 289,778.46, 399,913.47 and 162,462.30 is: 224,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,778.46 : 399,913.47 = 162,462.30 : x
  2. Step 2: Convert to fraction form
    289,778.46/399,913.47 = 162,462.30/x
  3. Step 3: Cross multiply
    289,778.46x = 399,913.47 × 162,462.30
  4. Step 4: Simplify right side
    289,778.46x = 64,970,862,137.18
  5. Step 5: Solve for x
    x = 64,970,862,137.18/289,778.46
  6. Step 6: Final answer
    x = 224,208.74

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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.