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Finding the Fourth Proportional to 357,717.68, 493,640.16 and 202,654.52

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Solution

The fourth proportional to 357,717.68, 493,640.16 and 202,654.52 is: 279,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,717.68 : 493,640.16 = 202,654.52 : x
  2. Step 2: Convert to fraction form
    357,717.68/493,640.16 = 202,654.52/x
  3. Step 3: Cross multiply
    357,717.68x = 493,640.16 × 202,654.52
  4. Step 4: Simplify right side
    357,717.68x = 100,038,409,677.52
  5. Step 5: Solve for x
    x = 100,038,409,677.52/357,717.68
  6. Step 6: Final answer
    x = 279,657.44

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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.