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Finding the Fourth Proportional to 356,064.60, 533,405.70 and 198,010.20

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Solution

The fourth proportional to 356,064.60, 533,405.70 and 198,010.20 is: 296,630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,064.60 : 533,405.70 = 198,010.20 : x
  2. Step 2: Convert to fraction form
    356,064.60/533,405.70 = 198,010.20/x
  3. Step 3: Cross multiply
    356,064.60x = 533,405.70 × 198,010.20
  4. Step 4: Simplify right side
    356,064.60x = 105,619,769,338.14
  5. Step 5: Solve for x
    x = 105,619,769,338.14/356,064.60
  6. Step 6: Final answer
    x = 296,630.92

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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.