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Finding the Fourth Proportional to 357,614.60, 493,538.47 and 196,501.95

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Solution

The fourth proportional to 357,614.60, 493,538.47 and 196,501.95 is: 271,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,614.60 : 493,538.47 = 196,501.95 : x
  2. Step 2: Convert to fraction form
    357,614.60/493,538.47 = 196,501.95/x
  3. Step 3: Cross multiply
    357,614.60x = 493,538.47 × 196,501.95
  4. Step 4: Simplify right side
    357,614.60x = 96,981,271,263.76
  5. Step 5: Solve for x
    x = 96,981,271,263.76/357,614.60
  6. Step 6: Final answer
    x = 271,189.35

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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.