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Finding the Fourth Proportional to 463,054.02, 638,811.84 and 271,981.32

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Solution

The fourth proportional to 463,054.02, 638,811.84 and 271,981.32 is: 375,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,054.02 : 638,811.84 = 271,981.32 : x
  2. Step 2: Convert to fraction form
    463,054.02/638,811.84 = 271,981.32/x
  3. Step 3: Cross multiply
    463,054.02x = 638,811.84 × 271,981.32
  4. Step 4: Simplify right side
    463,054.02x = 173,744,887,474.83
  5. Step 5: Solve for x
    x = 173,744,887,474.83/463,054.02
  6. Step 6: Final answer
    x = 375,215.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.