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Finding the Fourth Proportional to 431,840.40, 647,645.40 and 151,328.40

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Solution

The fourth proportional to 431,840.40, 647,645.40 and 151,328.40 is: 226,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,840.40 : 647,645.40 = 151,328.40 : x
  2. Step 2: Convert to fraction form
    431,840.40/647,645.40 = 151,328.40/x
  3. Step 3: Cross multiply
    431,840.40x = 647,645.40 × 151,328.40
  4. Step 4: Simplify right side
    431,840.40x = 98,007,142,149.36
  5. Step 5: Solve for x
    x = 98,007,142,149.36/431,840.40
  6. Step 6: Final answer
    x = 226,952.23

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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.