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Finding the Fourth Proportional to 200,411.92, 300,546.90 and 58,227.58

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Solution

The fourth proportional to 200,411.92, 300,546.90 and 58,227.58 is: 87,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,411.92 : 300,546.90 = 58,227.58 : x
  2. Step 2: Convert to fraction form
    200,411.92/300,546.90 = 58,227.58/x
  3. Step 3: Cross multiply
    200,411.92x = 300,546.90 × 58,227.58
  4. Step 4: Simplify right side
    200,411.92x = 17,500,118,663.50
  5. Step 5: Solve for x
    x = 17,500,118,663.50/200,411.92
  6. Step 6: Final answer
    x = 87,320.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.