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Finding the Fourth Proportional to 577,879.44, 865,644.12 and 471,642

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Solution

The fourth proportional to 577,879.44, 865,644.12 and 471,642 is: 706,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,879.44 : 865,644.12 = 471,642 : x
  2. Step 2: Convert to fraction form
    577,879.44/865,644.12 = 471,642/x
  3. Step 3: Cross multiply
    577,879.44x = 865,644.12 × 471,642
  4. Step 4: Simplify right side
    577,879.44x = 408,274,124,045.04
  5. Step 5: Solve for x
    x = 408,274,124,045.04/577,879.44
  6. Step 6: Final answer
    x = 706,503.98

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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.