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Finding the Fourth Proportional to 298,900.29, 412,461.78 and 168,097.49

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Solution

The fourth proportional to 298,900.29, 412,461.78 and 168,097.49 is: 231,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,900.29 : 412,461.78 = 168,097.49 : x
  2. Step 2: Convert to fraction form
    298,900.29/412,461.78 = 168,097.49/x
  3. Step 3: Cross multiply
    298,900.29x = 412,461.78 × 168,097.49
  4. Step 4: Simplify right side
    298,900.29x = 69,333,790,554.95
  5. Step 5: Solve for x
    x = 69,333,790,554.95/298,900.29
  6. Step 6: Final answer
    x = 231,962.94

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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.