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Finding the Fourth Proportional to 466,424.66, 699,337.70 and 223,165.46

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Solution

The fourth proportional to 466,424.66, 699,337.70 and 223,165.46 is: 334,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,424.66 : 699,337.70 = 223,165.46 : x
  2. Step 2: Convert to fraction form
    466,424.66/699,337.70 = 223,165.46/x
  3. Step 3: Cross multiply
    466,424.66x = 699,337.70 × 223,165.46
  4. Step 4: Simplify right side
    466,424.66x = 156,068,018,400.02
  5. Step 5: Solve for x
    x = 156,068,018,400.02/466,424.66
  6. Step 6: Final answer
    x = 334,604.99

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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.