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Finding the Fourth Proportional to 591,392.12, 816,121.40 and 319,460

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Solution

The fourth proportional to 591,392.12, 816,121.40 and 319,460 is: 440,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,392.12 : 816,121.40 = 319,460 : x
  2. Step 2: Convert to fraction form
    591,392.12/816,121.40 = 319,460/x
  3. Step 3: Cross multiply
    591,392.12x = 816,121.40 × 319,460
  4. Step 4: Simplify right side
    591,392.12x = 260,718,142,444
  5. Step 5: Solve for x
    x = 260,718,142,444/591,392.12
  6. Step 6: Final answer
    x = 440,854.95

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