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Finding the Fourth Proportional to 299,488.38, 413,362.89 and 197,532.06

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Solution

The fourth proportional to 299,488.38, 413,362.89 and 197,532.06 is: 272,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,488.38 : 413,362.89 = 197,532.06 : x
  2. Step 2: Convert to fraction form
    299,488.38/413,362.89 = 197,532.06/x
  3. Step 3: Cross multiply
    299,488.38x = 413,362.89 × 197,532.06
  4. Step 4: Simplify right side
    299,488.38x = 81,652,423,189.25
  5. Step 5: Solve for x
    x = 81,652,423,189.25/299,488.38
  6. Step 6: Final answer
    x = 272,639.70

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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.