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Finding the Fourth Proportional to 487,560.53, 731,225.97 and 274,419.15

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Solution

The fourth proportional to 487,560.53, 731,225.97 and 274,419.15 is: 411,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,560.53 : 731,225.97 = 274,419.15 : x
  2. Step 2: Convert to fraction form
    487,560.53/731,225.97 = 274,419.15/x
  3. Step 3: Cross multiply
    487,560.53x = 731,225.97 × 274,419.15
  4. Step 4: Simplify right side
    487,560.53x = 200,662,409,145.33
  5. Step 5: Solve for x
    x = 200,662,409,145.33/487,560.53
  6. Step 6: Final answer
    x = 411,564.10

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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.