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Finding the Fourth Proportional to 557,002.96, 835,370.02 and 257,195.32

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Solution

The fourth proportional to 557,002.96, 835,370.02 and 257,195.32 is: 385,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,002.96 : 835,370.02 = 257,195.32 : x
  2. Step 2: Convert to fraction form
    557,002.96/835,370.02 = 257,195.32/x
  3. Step 3: Cross multiply
    557,002.96x = 835,370.02 × 257,195.32
  4. Step 4: Simplify right side
    557,002.96x = 214,853,259,612.31
  5. Step 5: Solve for x
    x = 214,853,259,612.31/557,002.96
  6. Step 6: Final answer
    x = 385,730.91

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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.