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Finding the Fourth Proportional to 288,883.64, 398,399.10 and 193,519.10

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Solution

The fourth proportional to 288,883.64, 398,399.10 and 193,519.10 is: 266,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,883.64 : 398,399.10 = 193,519.10 : x
  2. Step 2: Convert to fraction form
    288,883.64/398,399.10 = 193,519.10/x
  3. Step 3: Cross multiply
    288,883.64x = 398,399.10 × 193,519.10
  4. Step 4: Simplify right side
    288,883.64x = 77,097,835,272.81
  5. Step 5: Solve for x
    x = 77,097,835,272.81/288,883.64
  6. Step 6: Final answer
    x = 266,881.97

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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.