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Finding the Fourth Proportional to 594,414.81, 820,098.54 and 336,266.82

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Solution

The fourth proportional to 594,414.81, 820,098.54 and 336,266.82 is: 463,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,414.81 : 820,098.54 = 336,266.82 : x
  2. Step 2: Convert to fraction form
    594,414.81/820,098.54 = 336,266.82/x
  3. Step 3: Cross multiply
    594,414.81x = 820,098.54 × 336,266.82
  4. Step 4: Simplify right side
    594,414.81x = 275,771,928,132.44
  5. Step 5: Solve for x
    x = 275,771,928,132.44/594,414.81
  6. Step 6: Final answer
    x = 463,938.52

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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.