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Finding the Fourth Proportional to 538,464.12, 743,096.05 and 296,762.25

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Solution

The fourth proportional to 538,464.12, 743,096.05 and 296,762.25 is: 409,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,464.12 : 743,096.05 = 296,762.25 : x
  2. Step 2: Convert to fraction form
    538,464.12/743,096.05 = 296,762.25/x
  3. Step 3: Cross multiply
    538,464.12x = 743,096.05 × 296,762.25
  4. Step 4: Simplify right side
    538,464.12x = 220,522,857,808.82
  5. Step 5: Solve for x
    x = 220,522,857,808.82/538,464.12
  6. Step 6: Final answer
    x = 409,540.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.