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Finding the Fourth Proportional to 599,764.32, 899,632.14 and 194,956.04

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Solution

The fourth proportional to 599,764.32, 899,632.14 and 194,956.04 is: 292,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,764.32 : 899,632.14 = 194,956.04 : x
  2. Step 2: Convert to fraction form
    599,764.32/899,632.14 = 194,956.04/x
  3. Step 3: Cross multiply
    599,764.32x = 899,632.14 × 194,956.04
  4. Step 4: Simplify right side
    599,764.32x = 175,388,719,471.13
  5. Step 5: Solve for x
    x = 175,388,719,471.13/599,764.32
  6. Step 6: Final answer
    x = 292,429.40

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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.