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Finding the Fourth Proportional to 557,694.04, 769,615.72 and 316,022.64

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Solution

The fourth proportional to 557,694.04, 769,615.72 and 316,022.64 is: 436,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,694.04 : 769,615.72 = 316,022.64 : x
  2. Step 2: Convert to fraction form
    557,694.04/769,615.72 = 316,022.64/x
  3. Step 3: Cross multiply
    557,694.04x = 769,615.72 × 316,022.64
  4. Step 4: Simplify right side
    557,694.04x = 243,215,991,619.90
  5. Step 5: Solve for x
    x = 243,215,991,619.90/557,694.04
  6. Step 6: Final answer
    x = 436,110.08

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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.