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Finding the Fourth Proportional to 431,673.40, 647,663.70 and 416,313.40

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Solution

The fourth proportional to 431,673.40, 647,663.70 and 416,313.40 is: 624,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,673.40 : 647,663.70 = 416,313.40 : x
  2. Step 2: Convert to fraction form
    431,673.40/647,663.70 = 416,313.40/x
  3. Step 3: Cross multiply
    431,673.40x = 647,663.70 × 416,313.40
  4. Step 4: Simplify right side
    431,673.40x = 269,631,077,003.58
  5. Step 5: Solve for x
    x = 269,631,077,003.58/431,673.40
  6. Step 6: Final answer
    x = 624,618.23

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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.