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Finding the Fourth Proportional to 357,834.48, 493,801.56 and 196,689.84

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Solution

The fourth proportional to 357,834.48, 493,801.56 and 196,689.84 is: 271,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,834.48 : 493,801.56 = 196,689.84 : x
  2. Step 2: Convert to fraction form
    357,834.48/493,801.56 = 196,689.84/x
  3. Step 3: Cross multiply
    357,834.48x = 493,801.56 × 196,689.84
  4. Step 4: Simplify right side
    357,834.48x = 97,125,749,828.15
  5. Step 5: Solve for x
    x = 97,125,749,828.15/357,834.48
  6. Step 6: Final answer
    x = 271,426.47

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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.