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Finding the Fourth Proportional to 526,579.84, 789,884.80 and 206,718.40

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Solution

The fourth proportional to 526,579.84, 789,884.80 and 206,718.40 is: 310,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,579.84 : 789,884.80 = 206,718.40 : x
  2. Step 2: Convert to fraction form
    526,579.84/789,884.80 = 206,718.40/x
  3. Step 3: Cross multiply
    526,579.84x = 789,884.80 × 206,718.40
  4. Step 4: Simplify right side
    526,579.84x = 163,283,722,040.32
  5. Step 5: Solve for x
    x = 163,283,722,040.32/526,579.84
  6. Step 6: Final answer
    x = 310,083.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.