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Finding the Fourth Proportional to 346,544, 478,232.16 and 187,568

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Solution

The fourth proportional to 346,544, 478,232.16 and 187,568 is: 258,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,544 : 478,232.16 = 187,568 : x
  2. Step 2: Convert to fraction form
    346,544/478,232.16 = 187,568/x
  3. Step 3: Cross multiply
    346,544x = 478,232.16 × 187,568
  4. Step 4: Simplify right side
    346,544x = 89,701,049,786.88
  5. Step 5: Solve for x
    x = 89,701,049,786.88/346,544
  6. Step 6: Final answer
    x = 258,844.62

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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.