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Finding the Fourth Proportional to 298,882.52, 412,455.17 and 162,916.46

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Solution

The fourth proportional to 298,882.52, 412,455.17 and 162,916.46 is: 224,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,882.52 : 412,455.17 = 162,916.46 : x
  2. Step 2: Convert to fraction form
    298,882.52/412,455.17 = 162,916.46/x
  3. Step 3: Cross multiply
    298,882.52x = 412,455.17 × 162,916.46
  4. Step 4: Simplify right side
    298,882.52x = 67,195,733,328.24
  5. Step 5: Solve for x
    x = 67,195,733,328.24/298,882.52
  6. Step 6: Final answer
    x = 224,823.23

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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.