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Finding the Fourth Proportional to 543,315.34, 814,788.39 and 188,246.46

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Solution

The fourth proportional to 543,315.34, 814,788.39 and 188,246.46 is: 282,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,315.34 : 814,788.39 = 188,246.46 : x
  2. Step 2: Convert to fraction form
    543,315.34/814,788.39 = 188,246.46/x
  3. Step 3: Cross multiply
    543,315.34x = 814,788.39 × 188,246.46
  4. Step 4: Simplify right side
    543,315.34x = 153,381,030,066.60
  5. Step 5: Solve for x
    x = 153,381,030,066.60/543,315.34
  6. Step 6: Final answer
    x = 282,305.72

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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.