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Finding the Fourth Proportional to 562,004.52, 842,144.94 and 381,860.52

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Solution

The fourth proportional to 562,004.52, 842,144.94 and 381,860.52 is: 572,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,004.52 : 842,144.94 = 381,860.52 : x
  2. Step 2: Convert to fraction form
    562,004.52/842,144.94 = 381,860.52/x
  3. Step 3: Cross multiply
    562,004.52x = 842,144.94 × 381,860.52
  4. Step 4: Simplify right side
    562,004.52x = 321,581,904,703.77
  5. Step 5: Solve for x
    x = 321,581,904,703.77/562,004.52
  6. Step 6: Final answer
    x = 572,205.19

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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.