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Finding the Fourth Proportional to 175,314, 262,971 and 58,578

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Solution

The fourth proportional to 175,314, 262,971 and 58,578 is: 87,867

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,314 : 262,971 = 58,578 : x
  2. Step 2: Convert to fraction form
    175,314/262,971 = 58,578/x
  3. Step 3: Cross multiply
    175,314x = 262,971 × 58,578
  4. Step 4: Simplify right side
    175,314x = 15,404,315,238
  5. Step 5: Solve for x
    x = 15,404,315,238/175,314
  6. Step 6: Final answer
    x = 87,867

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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.