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Finding the Fourth Proportional to 361,783.18, 499,248.21 and 200,653.22

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Solution

The fourth proportional to 361,783.18, 499,248.21 and 200,653.22 is: 276,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,783.18 : 499,248.21 = 200,653.22 : x
  2. Step 2: Convert to fraction form
    361,783.18/499,248.21 = 200,653.22/x
  3. Step 3: Cross multiply
    361,783.18x = 499,248.21 × 200,653.22
  4. Step 4: Simplify right side
    361,783.18x = 100,175,760,915.74
  5. Step 5: Solve for x
    x = 100,175,760,915.74/361,783.18
  6. Step 6: Final answer
    x = 276,894.47

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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.