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Finding the Fourth Proportional to 440,032.16, 659,942.48 and 203,147.30

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Solution

The fourth proportional to 440,032.16, 659,942.48 and 203,147.30 is: 304,672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,032.16 : 659,942.48 = 203,147.30 : x
  2. Step 2: Convert to fraction form
    440,032.16/659,942.48 = 203,147.30/x
  3. Step 3: Cross multiply
    440,032.16x = 659,942.48 × 203,147.30
  4. Step 4: Simplify right side
    440,032.16x = 134,065,532,967.30
  5. Step 5: Solve for x
    x = 134,065,532,967.30/440,032.16
  6. Step 6: Final answer
    x = 304,672.12

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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.