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Finding the Fourth Proportional to 508,947.40, 763,712.70 and 193,630.60

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Solution

The fourth proportional to 508,947.40, 763,712.70 and 193,630.60 is: 290,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,947.40 : 763,712.70 = 193,630.60 : x
  2. Step 2: Convert to fraction form
    508,947.40/763,712.70 = 193,630.60/x
  3. Step 3: Cross multiply
    508,947.40x = 763,712.70 × 193,630.60
  4. Step 4: Simplify right side
    508,947.40x = 147,878,148,328.62
  5. Step 5: Solve for x
    x = 147,878,148,328.62/508,947.40
  6. Step 6: Final answer
    x = 290,556.84

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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.