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Finding the Fourth Proportional to 431,392.40, 646,602.60 and 206,860.40

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Solution

The fourth proportional to 431,392.40, 646,602.60 and 206,860.40 is: 310,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,392.40 : 646,602.60 = 206,860.40 : x
  2. Step 2: Convert to fraction form
    431,392.40/646,602.60 = 206,860.40/x
  3. Step 3: Cross multiply
    431,392.40x = 646,602.60 × 206,860.40
  4. Step 4: Simplify right side
    431,392.40x = 133,756,472,477.04
  5. Step 5: Solve for x
    x = 133,756,472,477.04/431,392.40
  6. Step 6: Final answer
    x = 310,057.55

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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.