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Finding the Fourth Proportional to 342,834.66, 514,583.68 and 165,466.53

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Solution

The fourth proportional to 342,834.66, 514,583.68 and 165,466.53 is: 248,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,834.66 : 514,583.68 = 165,466.53 : x
  2. Step 2: Convert to fraction form
    342,834.66/514,583.68 = 165,466.53/x
  3. Step 3: Cross multiply
    342,834.66x = 514,583.68 × 165,466.53
  4. Step 4: Simplify right side
    342,834.66x = 85,146,375,924.23
  5. Step 5: Solve for x
    x = 85,146,375,924.23/342,834.66
  6. Step 6: Final answer
    x = 248,359.88

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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.