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Finding the Fourth Proportional to 382,793.86, 528,462.66 and 268,423.48

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Solution

The fourth proportional to 382,793.86, 528,462.66 and 268,423.48 is: 370,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,793.86 : 528,462.66 = 268,423.48 : x
  2. Step 2: Convert to fraction form
    382,793.86/528,462.66 = 268,423.48/x
  3. Step 3: Cross multiply
    382,793.86x = 528,462.66 × 268,423.48
  4. Step 4: Simplify right side
    382,793.86x = 141,851,786,247.26
  5. Step 5: Solve for x
    x = 141,851,786,247.26/382,793.86
  6. Step 6: Final answer
    x = 370,569.65

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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.