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Finding the Fourth Proportional to 382,977.51, 574,548.84 and 190,956.64

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Solution

The fourth proportional to 382,977.51, 574,548.84 and 190,956.64 is: 286,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,977.51 : 574,548.84 = 190,956.64 : x
  2. Step 2: Convert to fraction form
    382,977.51/574,548.84 = 190,956.64/x
  3. Step 3: Cross multiply
    382,977.51x = 574,548.84 × 190,956.64
  4. Step 4: Simplify right side
    382,977.51x = 109,713,916,002.30
  5. Step 5: Solve for x
    x = 109,713,916,002.30/382,977.51
  6. Step 6: Final answer
    x = 286,476.13

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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.