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Finding the Fourth Proportional to 505,877.20, 758,815.80 and 476,846.80

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Solution

The fourth proportional to 505,877.20, 758,815.80 and 476,846.80 is: 715,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,877.20 : 758,815.80 = 476,846.80 : x
  2. Step 2: Convert to fraction form
    505,877.20/758,815.80 = 476,846.80/x
  3. Step 3: Cross multiply
    505,877.20x = 758,815.80 × 476,846.80
  4. Step 4: Simplify right side
    505,877.20x = 361,838,886,019.44
  5. Step 5: Solve for x
    x = 361,838,886,019.44/505,877.20
  6. Step 6: Final answer
    x = 715,270.20

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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.