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Finding the Fourth Proportional to 523,884.84, 722,731.14 and 354,057

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Solution

The fourth proportional to 523,884.84, 722,731.14 and 354,057 is: 488,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,884.84 : 722,731.14 = 354,057 : x
  2. Step 2: Convert to fraction form
    523,884.84/722,731.14 = 354,057/x
  3. Step 3: Cross multiply
    523,884.84x = 722,731.14 × 354,057
  4. Step 4: Simplify right side
    523,884.84x = 255,888,019,234.98
  5. Step 5: Solve for x
    x = 255,888,019,234.98/523,884.84
  6. Step 6: Final answer
    x = 488,443.26

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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.