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Finding the Fourth Proportional to 526,320, 726,277.46 and 311,422.41

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Solution

The fourth proportional to 526,320, 726,277.46 and 311,422.41 is: 429,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,320 : 726,277.46 = 311,422.41 : x
  2. Step 2: Convert to fraction form
    526,320/726,277.46 = 311,422.41/x
  3. Step 3: Cross multiply
    526,320x = 726,277.46 × 311,422.41
  4. Step 4: Simplify right side
    526,320x = 226,179,075,364.77
  5. Step 5: Solve for x
    x = 226,179,075,364.77/526,320
  6. Step 6: Final answer
    x = 429,736.81

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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.