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Finding the Fourth Proportional to 357,493.72, 493,347.28 and 196,363.68

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Solution

The fourth proportional to 357,493.72, 493,347.28 and 196,363.68 is: 270,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,493.72 : 493,347.28 = 196,363.68 : x
  2. Step 2: Convert to fraction form
    357,493.72/493,347.28 = 196,363.68/x
  3. Step 3: Cross multiply
    357,493.72x = 493,347.28 × 196,363.68
  4. Step 4: Simplify right side
    357,493.72x = 96,875,487,418.79
  5. Step 5: Solve for x
    x = 96,875,487,418.79/357,493.72
  6. Step 6: Final answer
    x = 270,985.14

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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.