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Finding the Fourth Proportional to 466,368, 699,558.24 and 146,509.44

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Solution

The fourth proportional to 466,368, 699,558.24 and 146,509.44 is: 219,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,368 : 699,558.24 = 146,509.44 : x
  2. Step 2: Convert to fraction form
    466,368/699,558.24 = 146,509.44/x
  3. Step 3: Cross multiply
    466,368x = 699,558.24 × 146,509.44
  4. Step 4: Simplify right side
    466,368x = 102,491,885,989.79
  5. Step 5: Solve for x
    x = 102,491,885,989.79/466,368
  6. Step 6: Final answer
    x = 219,766.12

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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.