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Finding the Fourth Proportional to 357,625.71, 493,526.82 and 196,484.10

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Solution

The fourth proportional to 357,625.71, 493,526.82 and 196,484.10 is: 271,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,625.71 : 493,526.82 = 196,484.10 : x
  2. Step 2: Convert to fraction form
    357,625.71/493,526.82 = 196,484.10/x
  3. Step 3: Cross multiply
    357,625.71x = 493,526.82 × 196,484.10
  4. Step 4: Simplify right side
    357,625.71x = 96,970,173,053.56
  5. Step 5: Solve for x
    x = 96,970,173,053.56/357,625.71
  6. Step 6: Final answer
    x = 271,149.89

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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.