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Finding the Fourth Proportional to 512,822.86, 766,036.35 and 379,962.61

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Solution

The fourth proportional to 512,822.86, 766,036.35 and 379,962.61 is: 567,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,822.86 : 766,036.35 = 379,962.61 : x
  2. Step 2: Convert to fraction form
    512,822.86/766,036.35 = 379,962.61/x
  3. Step 3: Cross multiply
    512,822.86x = 766,036.35 × 379,962.61
  4. Step 4: Simplify right side
    512,822.86x = 291,065,170,900.87
  5. Step 5: Solve for x
    x = 291,065,170,900.87/512,822.86
  6. Step 6: Final answer
    x = 567,574.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.