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Finding the Fourth Proportional to 331,670.16, 457,717.06 and 188,454.48

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Solution

The fourth proportional to 331,670.16, 457,717.06 and 188,454.48 is: 260,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,670.16 : 457,717.06 = 188,454.48 : x
  2. Step 2: Convert to fraction form
    331,670.16/457,717.06 = 188,454.48/x
  3. Step 3: Cross multiply
    331,670.16x = 457,717.06 × 188,454.48
  4. Step 4: Simplify right side
    331,670.16x = 86,258,830,529.43
  5. Step 5: Solve for x
    x = 86,258,830,529.43/331,670.16
  6. Step 6: Final answer
    x = 260,074.14

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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.