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Finding the Fourth Proportional to 357,784.16, 493,753.96 and 196,644.92

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Solution

The fourth proportional to 357,784.16, 493,753.96 and 196,644.92 is: 271,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,784.16 : 493,753.96 = 196,644.92 : x
  2. Step 2: Convert to fraction form
    357,784.16/493,753.96 = 196,644.92/x
  3. Step 3: Cross multiply
    357,784.16x = 493,753.96 × 196,644.92
  4. Step 4: Simplify right side
    357,784.16x = 97,094,207,963.88
  5. Step 5: Solve for x
    x = 97,094,207,963.88/357,784.16
  6. Step 6: Final answer
    x = 271,376.49

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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.