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Finding the Fourth Proportional to 543,784.20, 814,898.70 and 400,511.40

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Solution

The fourth proportional to 543,784.20, 814,898.70 and 400,511.40 is: 600,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,784.20 : 814,898.70 = 400,511.40 : x
  2. Step 2: Convert to fraction form
    543,784.20/814,898.70 = 400,511.40/x
  3. Step 3: Cross multiply
    543,784.20x = 814,898.70 × 400,511.40
  4. Step 4: Simplify right side
    543,784.20x = 326,376,219,195.18
  5. Step 5: Solve for x
    x = 326,376,219,195.18/543,784.20
  6. Step 6: Final answer
    x = 600,194.38

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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.