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Finding the Fourth Proportional to 357,472.17, 493,314.98 and 196,330.50

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Solution

The fourth proportional to 357,472.17, 493,314.98 and 196,330.50 is: 270,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,472.17 : 493,314.98 = 196,330.50 : x
  2. Step 2: Convert to fraction form
    357,472.17/493,314.98 = 196,330.50/x
  3. Step 3: Cross multiply
    357,472.17x = 493,314.98 × 196,330.50
  4. Step 4: Simplify right side
    357,472.17x = 96,852,775,699.24
  5. Step 5: Solve for x
    x = 96,852,775,699.24/357,472.17
  6. Step 6: Final answer
    x = 270,937.95

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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.