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Finding the Fourth Proportional to 382,274.52, 573,480.92 and 157,509.93

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Solution

The fourth proportional to 382,274.52, 573,480.92 and 157,509.93 is: 236,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,274.52 : 573,480.92 = 157,509.93 : x
  2. Step 2: Convert to fraction form
    382,274.52/573,480.92 = 157,509.93/x
  3. Step 3: Cross multiply
    382,274.52x = 573,480.92 × 157,509.93
  4. Step 4: Simplify right side
    382,274.52x = 90,328,939,565.54
  5. Step 5: Solve for x
    x = 90,328,939,565.54/382,274.52
  6. Step 6: Final answer
    x = 236,293.38

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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.