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Finding the Fourth Proportional to 357,828.48, 493,793.28 and 196,683.84

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Solution

The fourth proportional to 357,828.48, 493,793.28 and 196,683.84 is: 271,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,828.48 : 493,793.28 = 196,683.84 : x
  2. Step 2: Convert to fraction form
    357,828.48/493,793.28 = 196,683.84/x
  3. Step 3: Cross multiply
    357,828.48x = 493,793.28 × 196,683.84
  4. Step 4: Simplify right side
    357,828.48x = 97,121,158,476.60
  5. Step 5: Solve for x
    x = 97,121,158,476.60/357,828.48
  6. Step 6: Final answer
    x = 271,418.19

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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.