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Finding the Fourth Proportional to 585,517, 808,014.06 and 317,245

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Solution

The fourth proportional to 585,517, 808,014.06 and 317,245 is: 437,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,517 : 808,014.06 = 317,245 : x
  2. Step 2: Convert to fraction form
    585,517/808,014.06 = 317,245/x
  3. Step 3: Cross multiply
    585,517x = 808,014.06 × 317,245
  4. Step 4: Simplify right side
    585,517x = 256,338,420,464.70
  5. Step 5: Solve for x
    x = 256,338,420,464.70/585,517
  6. Step 6: Final answer
    x = 437,798.43

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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.