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Finding the Fourth Proportional to 410,593.53, 616,277.81 and 211,054.04

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Solution

The fourth proportional to 410,593.53, 616,277.81 and 211,054.04 is: 316,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,593.53 : 616,277.81 = 211,054.04 : x
  2. Step 2: Convert to fraction form
    410,593.53/616,277.81 = 211,054.04/x
  3. Step 3: Cross multiply
    410,593.53x = 616,277.81 × 211,054.04
  4. Step 4: Simplify right side
    410,593.53x = 130,067,922,436.10
  5. Step 5: Solve for x
    x = 130,067,922,436.10/410,593.53
  6. Step 6: Final answer
    x = 316,780.25

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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.