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Finding the Fourth Proportional to 546,213.84, 753,819.98 and 301,246.52

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Solution

The fourth proportional to 546,213.84, 753,819.98 and 301,246.52 is: 415,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,213.84 : 753,819.98 = 301,246.52 : x
  2. Step 2: Convert to fraction form
    546,213.84/753,819.98 = 301,246.52/x
  3. Step 3: Cross multiply
    546,213.84x = 753,819.98 × 301,246.52
  4. Step 4: Simplify right side
    546,213.84x = 227,085,640,406.14
  5. Step 5: Solve for x
    x = 227,085,640,406.14/546,213.84
  6. Step 6: Final answer
    x = 415,744.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.