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Finding the Fourth Proportional to 357,952.96, 493,964.64 and 196,807.84

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Solution

The fourth proportional to 357,952.96, 493,964.64 and 196,807.84 is: 271,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,952.96 : 493,964.64 = 196,807.84 : x
  2. Step 2: Convert to fraction form
    357,952.96/493,964.64 = 196,807.84/x
  3. Step 3: Cross multiply
    357,952.96x = 493,964.64 × 196,807.84
  4. Step 4: Simplify right side
    357,952.96x = 97,216,113,834.78
  5. Step 5: Solve for x
    x = 97,216,113,834.78/357,952.96
  6. Step 6: Final answer
    x = 271,589.08

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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.