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Finding the Fourth Proportional to 557,114.88, 835,565.44 and 157,659.20

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Solution

The fourth proportional to 557,114.88, 835,565.44 and 157,659.20 is: 236,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,114.88 : 835,565.44 = 157,659.20 : x
  2. Step 2: Convert to fraction form
    557,114.88/835,565.44 = 157,659.20/x
  3. Step 3: Cross multiply
    557,114.88x = 835,565.44 × 157,659.20
  4. Step 4: Simplify right side
    557,114.88x = 131,734,578,818.05
  5. Step 5: Solve for x
    x = 131,734,578,818.05/557,114.88
  6. Step 6: Final answer
    x = 236,458.55

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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.