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Finding the Fourth Proportional to 522,343.84, 783,493.86 and 167,350

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Solution

The fourth proportional to 522,343.84, 783,493.86 and 167,350 is: 251,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,343.84 : 783,493.86 = 167,350 : x
  2. Step 2: Convert to fraction form
    522,343.84/783,493.86 = 167,350/x
  3. Step 3: Cross multiply
    522,343.84x = 783,493.86 × 167,350
  4. Step 4: Simplify right side
    522,343.84x = 131,117,697,471
  5. Step 5: Solve for x
    x = 131,117,697,471/522,343.84
  6. Step 6: Final answer
    x = 251,017.98

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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.