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Finding the Fourth Proportional to 357,864.68, 493,859.40 and 196,726.52

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Solution

The fourth proportional to 357,864.68, 493,859.40 and 196,726.52 is: 271,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,864.68 : 493,859.40 = 196,726.52 : x
  2. Step 2: Convert to fraction form
    357,864.68/493,859.40 = 196,726.52/x
  3. Step 3: Cross multiply
    357,864.68x = 493,859.40 × 196,726.52
  4. Step 4: Simplify right side
    357,864.68x = 97,155,241,131.29
  5. Step 5: Solve for x
    x = 97,155,241,131.29/357,864.68
  6. Step 6: Final answer
    x = 271,485.97

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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.