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Finding the Fourth Proportional to 411,892.30, 617,838.45 and 400,228.30

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Solution

The fourth proportional to 411,892.30, 617,838.45 and 400,228.30 is: 600,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,892.30 : 617,838.45 = 400,228.30 : x
  2. Step 2: Convert to fraction form
    411,892.30/617,838.45 = 400,228.30/x
  3. Step 3: Cross multiply
    411,892.30x = 617,838.45 × 400,228.30
  4. Step 4: Simplify right side
    411,892.30x = 247,276,432,518.14
  5. Step 5: Solve for x
    x = 247,276,432,518.14/411,892.30
  6. Step 6: Final answer
    x = 600,342.45

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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.