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Finding the Fourth Proportional to 287,262.74, 431,090.88 and 100,274.24

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Solution

The fourth proportional to 287,262.74, 431,090.88 and 100,274.24 is: 150,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,262.74 : 431,090.88 = 100,274.24 : x
  2. Step 2: Convert to fraction form
    287,262.74/431,090.88 = 100,274.24/x
  3. Step 3: Cross multiply
    287,262.74x = 431,090.88 × 100,274.24
  4. Step 4: Simplify right side
    287,262.74x = 43,227,310,362.93
  5. Step 5: Solve for x
    x = 43,227,310,362.93/287,262.74
  6. Step 6: Final answer
    x = 150,480.05

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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.