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Finding the Fourth Proportional to 565,698.48, 848,782.71 and 228,977.16

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Solution

The fourth proportional to 565,698.48, 848,782.71 and 228,977.16 is: 343,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,698.48 : 848,782.71 = 228,977.16 : x
  2. Step 2: Convert to fraction form
    565,698.48/848,782.71 = 228,977.16/x
  3. Step 3: Cross multiply
    565,698.48x = 848,782.71 × 228,977.16
  4. Step 4: Simplify right side
    565,698.48x = 194,351,854,392.90
  5. Step 5: Solve for x
    x = 194,351,854,392.90/565,698.48
  6. Step 6: Final answer
    x = 343,560.86

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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.