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Finding the Fourth Proportional to 431,606.40, 647,409.60 and 342,376.80

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Solution

The fourth proportional to 431,606.40, 647,409.60 and 342,376.80 is: 513,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,606.40 : 647,409.60 = 342,376.80 : x
  2. Step 2: Convert to fraction form
    431,606.40/647,409.60 = 342,376.80/x
  3. Step 3: Cross multiply
    431,606.40x = 647,409.60 × 342,376.80
  4. Step 4: Simplify right side
    431,606.40x = 221,658,027,137.28
  5. Step 5: Solve for x
    x = 221,658,027,137.28/431,606.40
  6. Step 6: Final answer
    x = 513,565.20

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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.