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Finding the Fourth Proportional to 562,009.02, 842,151.69 and 381,865.02

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Solution

The fourth proportional to 562,009.02, 842,151.69 and 381,865.02 is: 572,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,009.02 : 842,151.69 = 381,865.02 : x
  2. Step 2: Convert to fraction form
    562,009.02/842,151.69 = 381,865.02/x
  3. Step 3: Cross multiply
    562,009.02x = 842,151.69 × 381,865.02
  4. Step 4: Simplify right side
    562,009.02x = 321,588,271,944.88
  5. Step 5: Solve for x
    x = 321,588,271,944.88/562,009.02
  6. Step 6: Final answer
    x = 572,211.94

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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.