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Finding the Fourth Proportional to 538,592.40, 743,223.68 and 296,861.68

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Solution

The fourth proportional to 538,592.40, 743,223.68 and 296,861.68 is: 409,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,592.40 : 743,223.68 = 296,861.68 : x
  2. Step 2: Convert to fraction form
    538,592.40/743,223.68 = 296,861.68/x
  3. Step 3: Cross multiply
    538,592.40x = 743,223.68 × 296,861.68
  4. Step 4: Simplify right side
    538,592.40x = 220,634,630,260.58
  5. Step 5: Solve for x
    x = 220,634,630,260.58/538,592.40
  6. Step 6: Final answer
    x = 409,650.47

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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.