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Finding the Fourth Proportional to 411,988.52, 617,827.26 and 190,217

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Solution

The fourth proportional to 411,988.52, 617,827.26 and 190,217 is: 285,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,988.52 : 617,827.26 = 190,217 : x
  2. Step 2: Convert to fraction form
    411,988.52/617,827.26 = 190,217/x
  3. Step 3: Cross multiply
    411,988.52x = 617,827.26 × 190,217
  4. Step 4: Simplify right side
    411,988.52x = 117,521,247,915.42
  5. Step 5: Solve for x
    x = 117,521,247,915.42/411,988.52
  6. Step 6: Final answer
    x = 285,253.70

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1.5x scale

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.