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Finding the Fourth Proportional to 357,484.68, 493,331.78 and 196,341.66

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Solution

The fourth proportional to 357,484.68, 493,331.78 and 196,341.66 is: 270,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,484.68 : 493,331.78 = 196,341.66 : x
  2. Step 2: Convert to fraction form
    357,484.68/493,331.78 = 196,341.66/x
  3. Step 3: Cross multiply
    357,484.68x = 493,331.78 × 196,341.66
  4. Step 4: Simplify right side
    357,484.68x = 96,861,580,615.95
  5. Step 5: Solve for x
    x = 96,861,580,615.95/357,484.68
  6. Step 6: Final answer
    x = 270,953.10

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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.