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Finding the Fourth Proportional to 384,771.70, 531,339.24 and 257,816.35

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Solution

The fourth proportional to 384,771.70, 531,339.24 and 257,816.35 is: 356,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,771.70 : 531,339.24 = 257,816.35 : x
  2. Step 2: Convert to fraction form
    384,771.70/531,339.24 = 257,816.35/x
  3. Step 3: Cross multiply
    384,771.70x = 531,339.24 × 257,816.35
  4. Step 4: Simplify right side
    384,771.70x = 136,987,943,468.57
  5. Step 5: Solve for x
    x = 136,987,943,468.57/384,771.70
  6. Step 6: Final answer
    x = 356,023.96

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1.5x scale

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.