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Finding the Fourth Proportional to 556,091.84, 834,008.96 and 331,515.20

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Solution

The fourth proportional to 556,091.84, 834,008.96 and 331,515.20 is: 497,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,091.84 : 834,008.96 = 331,515.20 : x
  2. Step 2: Convert to fraction form
    556,091.84/834,008.96 = 331,515.20/x
  3. Step 3: Cross multiply
    556,091.84x = 834,008.96 × 331,515.20
  4. Step 4: Simplify right side
    556,091.84x = 276,486,647,176.19
  5. Step 5: Solve for x
    x = 276,486,647,176.19/556,091.84
  6. Step 6: Final answer
    x = 497,196.02

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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.