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Finding the Fourth Proportional to 355,696.60, 532,853.70 and 197,642.20

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Solution

The fourth proportional to 355,696.60, 532,853.70 and 197,642.20 is: 296,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,696.60 : 532,853.70 = 197,642.20 : x
  2. Step 2: Convert to fraction form
    355,696.60/532,853.70 = 197,642.20/x
  3. Step 3: Cross multiply
    355,696.60x = 532,853.70 × 197,642.20
  4. Step 4: Simplify right side
    355,696.60x = 105,314,377,546.14
  5. Step 5: Solve for x
    x = 105,314,377,546.14/355,696.60
  6. Step 6: Final answer
    x = 296,079.24

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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.