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Finding the Fourth Proportional to 298,901.11, 412,478.71 and 162,940.45

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Solution

The fourth proportional to 298,901.11, 412,478.71 and 162,940.45 is: 224,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,901.11 : 412,478.71 = 162,940.45 : x
  2. Step 2: Convert to fraction form
    298,901.11/412,478.71 = 162,940.45/x
  3. Step 3: Cross multiply
    298,901.11x = 412,478.71 × 162,940.45
  4. Step 4: Simplify right side
    298,901.11x = 67,209,466,622.82
  5. Step 5: Solve for x
    x = 67,209,466,622.82/298,901.11
  6. Step 6: Final answer
    x = 224,855.19

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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.