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Finding the Fourth Proportional to 361,712, 499,168.64 and 200,573.76

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Solution

The fourth proportional to 361,712, 499,168.64 and 200,573.76 is: 276,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,712 : 499,168.64 = 200,573.76 : x
  2. Step 2: Convert to fraction form
    361,712/499,168.64 = 200,573.76/x
  3. Step 3: Cross multiply
    361,712x = 499,168.64 × 200,573.76
  4. Step 4: Simplify right side
    361,712x = 100,120,130,998.89
  5. Step 5: Solve for x
    x = 100,120,130,998.89/361,712
  6. Step 6: Final answer
    x = 276,795.16

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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.