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Finding the Fourth Proportional to 384,833.57, 531,024.32 and 212,728.34

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Solution

The fourth proportional to 384,833.57, 531,024.32 and 212,728.34 is: 293,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,833.57 : 531,024.32 = 212,728.34 : x
  2. Step 2: Convert to fraction form
    384,833.57/531,024.32 = 212,728.34/x
  3. Step 3: Cross multiply
    384,833.57x = 531,024.32 × 212,728.34
  4. Step 4: Simplify right side
    384,833.57x = 112,963,923,952.61
  5. Step 5: Solve for x
    x = 112,963,923,952.61/384,833.57
  6. Step 6: Final answer
    x = 293,539.69

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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.