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Finding the Fourth Proportional to 292,266, 438,628.68 and 150,105.60

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Solution

The fourth proportional to 292,266, 438,628.68 and 150,105.60 is: 225,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,266 : 438,628.68 = 150,105.60 : x
  2. Step 2: Convert to fraction form
    292,266/438,628.68 = 150,105.60/x
  3. Step 3: Cross multiply
    292,266x = 438,628.68 × 150,105.60
  4. Step 4: Simplify right side
    292,266x = 65,840,621,188.61
  5. Step 5: Solve for x
    x = 65,840,621,188.61/292,266
  6. Step 6: Final answer
    x = 225,276.36

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