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Finding the Fourth Proportional to 369,847.17, 510,384.09 and 206,506.21

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Solution

The fourth proportional to 369,847.17, 510,384.09 and 206,506.21 is: 284,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,847.17 : 510,384.09 = 206,506.21 : x
  2. Step 2: Convert to fraction form
    369,847.17/510,384.09 = 206,506.21/x
  3. Step 3: Cross multiply
    369,847.17x = 510,384.09 × 206,506.21
  4. Step 4: Simplify right side
    369,847.17x = 105,397,483,209.97
  5. Step 5: Solve for x
    x = 105,397,483,209.97/369,847.17
  6. Step 6: Final answer
    x = 284,975.77

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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.