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Finding the Fourth Proportional to 562,008.02, 842,150.19 and 381,864.02

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Solution

The fourth proportional to 562,008.02, 842,150.19 and 381,864.02 is: 572,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,008.02 : 842,150.19 = 381,864.02 : x
  2. Step 2: Convert to fraction form
    562,008.02/842,150.19 = 381,864.02/x
  3. Step 3: Cross multiply
    562,008.02x = 842,150.19 × 381,864.02
  4. Step 4: Simplify right side
    562,008.02x = 321,586,856,997.16
  5. Step 5: Solve for x
    x = 321,586,856,997.16/562,008.02
  6. Step 6: Final answer
    x = 572,210.44

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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.