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Finding the Fourth Proportional to 543,313.90, 814,934.40 and 143,946.10

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Solution

The fourth proportional to 543,313.90, 814,934.40 and 143,946.10 is: 215,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,313.90 : 814,934.40 = 143,946.10 : x
  2. Step 2: Convert to fraction form
    543,313.90/814,934.40 = 143,946.10/x
  3. Step 3: Cross multiply
    543,313.90x = 814,934.40 × 143,946.10
  4. Step 4: Simplify right side
    543,313.90x = 117,306,628,635.84
  5. Step 5: Solve for x
    x = 117,306,628,635.84/543,313.90
  6. Step 6: Final answer
    x = 215,909.49

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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.