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Finding the Fourth Proportional to 355,722.60, 532,892.70 and 197,668.20

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Solution

The fourth proportional to 355,722.60, 532,892.70 and 197,668.20 is: 296,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,722.60 : 532,892.70 = 197,668.20 : x
  2. Step 2: Convert to fraction form
    355,722.60/532,892.70 = 197,668.20/x
  3. Step 3: Cross multiply
    355,722.60x = 532,892.70 × 197,668.20
  4. Step 4: Simplify right side
    355,722.60x = 105,335,940,802.14
  5. Step 5: Solve for x
    x = 105,335,940,802.14/355,722.60
  6. Step 6: Final answer
    x = 296,118.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.