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Finding the Fourth Proportional to 431,387.40, 646,595.10 and 206,855.40

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Solution

The fourth proportional to 431,387.40, 646,595.10 and 206,855.40 is: 310,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,387.40 : 646,595.10 = 206,855.40 : x
  2. Step 2: Convert to fraction form
    431,387.40/646,595.10 = 206,855.40/x
  3. Step 3: Cross multiply
    431,387.40x = 646,595.10 × 206,855.40
  4. Step 4: Simplify right side
    431,387.40x = 133,751,688,048.54
  5. Step 5: Solve for x
    x = 133,751,688,048.54/431,387.40
  6. Step 6: Final answer
    x = 310,050.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.