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Finding the Fourth Proportional to 356,743.80, 535,374.90 and 146,532.60

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Solution

The fourth proportional to 356,743.80, 535,374.90 and 146,532.60 is: 219,905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,743.80 : 535,374.90 = 146,532.60 : x
  2. Step 2: Convert to fraction form
    356,743.80/535,374.90 = 146,532.60/x
  3. Step 3: Cross multiply
    356,743.80x = 535,374.90 × 146,532.60
  4. Step 4: Simplify right side
    356,743.80x = 78,449,876,071.74
  5. Step 5: Solve for x
    x = 78,449,876,071.74/356,743.80
  6. Step 6: Final answer
    x = 219,905.37

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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.