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Finding the Fourth Proportional to 357,685.11, 493,617.58 and 196,545.94

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Solution

The fourth proportional to 357,685.11, 493,617.58 and 196,545.94 is: 271,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,685.11 : 493,617.58 = 196,545.94 : x
  2. Step 2: Convert to fraction form
    357,685.11/493,617.58 = 196,545.94/x
  3. Step 3: Cross multiply
    357,685.11x = 493,617.58 × 196,545.94
  4. Step 4: Simplify right side
    357,685.11x = 97,018,529,536.22
  5. Step 5: Solve for x
    x = 97,018,529,536.22/357,685.11
  6. Step 6: Final answer
    x = 271,240.06

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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.