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Finding the Fourth Proportional to 357,602.70, 493,491.94 and 196,468.14

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Solution

The fourth proportional to 357,602.70, 493,491.94 and 196,468.14 is: 271,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,602.70 : 493,491.94 = 196,468.14 : x
  2. Step 2: Convert to fraction form
    357,602.70/493,491.94 = 196,468.14/x
  3. Step 3: Cross multiply
    357,602.70x = 493,491.94 × 196,468.14
  4. Step 4: Simplify right side
    357,602.70x = 96,955,443,556.79
  5. Step 5: Solve for x
    x = 96,955,443,556.79/357,602.70
  6. Step 6: Final answer
    x = 271,126.15

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1.5x scale

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.