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Finding the Fourth Proportional to 492,665.48, 679,898.52 and 311,311.23

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Solution

The fourth proportional to 492,665.48, 679,898.52 and 311,311.23 is: 429,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,665.48 : 679,898.52 = 311,311.23 : x
  2. Step 2: Convert to fraction form
    492,665.48/679,898.52 = 311,311.23/x
  3. Step 3: Cross multiply
    492,665.48x = 679,898.52 × 311,311.23
  4. Step 4: Simplify right side
    492,665.48x = 211,660,044,536.38
  5. Step 5: Solve for x
    x = 211,660,044,536.38/492,665.48
  6. Step 6: Final answer
    x = 429,622.23

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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.