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Finding the Fourth Proportional to 357,966.83, 493,980.94 and 196,812.29

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Solution

The fourth proportional to 357,966.83, 493,980.94 and 196,812.29 is: 271,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,966.83 : 493,980.94 = 196,812.29 : x
  2. Step 2: Convert to fraction form
    357,966.83/493,980.94 = 196,812.29/x
  3. Step 3: Cross multiply
    357,966.83x = 493,980.94 × 196,812.29
  4. Step 4: Simplify right side
    357,966.83x = 97,221,520,017.75
  5. Step 5: Solve for x
    x = 97,221,520,017.75/357,966.83
  6. Step 6: Final answer
    x = 271,593.66

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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.