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Finding the Fourth Proportional to 585,356, 807,791.52 and 317,084

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Solution

The fourth proportional to 585,356, 807,791.52 and 317,084 is: 437,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,356 : 807,791.52 = 317,084 : x
  2. Step 2: Convert to fraction form
    585,356/807,791.52 = 317,084/x
  3. Step 3: Cross multiply
    585,356x = 807,791.52 × 317,084
  4. Step 4: Simplify right side
    585,356x = 256,137,766,327.68
  5. Step 5: Solve for x
    x = 256,137,766,327.68/585,356
  6. Step 6: Final answer
    x = 437,576.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.