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Finding the Fourth Proportional to 292,238.60, 437,970.38 and 150,078.14

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Solution

The fourth proportional to 292,238.60, 437,970.38 and 150,078.14 is: 224,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,238.60 : 437,970.38 = 150,078.14 : x
  2. Step 2: Convert to fraction form
    292,238.60/437,970.38 = 150,078.14/x
  3. Step 3: Cross multiply
    292,238.60x = 437,970.38 × 150,078.14
  4. Step 4: Simplify right side
    292,238.60x = 65,729,778,190.84
  5. Step 5: Solve for x
    x = 65,729,778,190.84/292,238.60
  6. Step 6: Final answer
    x = 224,918.19

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1.5x scale

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.