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Finding the Fourth Proportional to 376,729, 519,886.23 and 206,974.06

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Solution

The fourth proportional to 376,729, 519,886.23 and 206,974.06 is: 285,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,729 : 519,886.23 = 206,974.06 : x
  2. Step 2: Convert to fraction form
    376,729/519,886.23 = 206,974.06/x
  3. Step 3: Cross multiply
    376,729x = 519,886.23 × 206,974.06
  4. Step 4: Simplify right side
    376,729x = 107,602,963,761.19
  5. Step 5: Solve for x
    x = 107,602,963,761.19/376,729
  6. Step 6: Final answer
    x = 285,624.32

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1.5x scale

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.