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Finding the Fourth Proportional to 546,732.60, 820,329.30 and 297,593.40

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Solution

The fourth proportional to 546,732.60, 820,329.30 and 297,593.40 is: 446,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,732.60 : 820,329.30 = 297,593.40 : x
  2. Step 2: Convert to fraction form
    546,732.60/820,329.30 = 297,593.40/x
  3. Step 3: Cross multiply
    546,732.60x = 820,329.30 × 297,593.40
  4. Step 4: Simplify right side
    546,732.60x = 244,124,585,506.62
  5. Step 5: Solve for x
    x = 244,124,585,506.62/546,732.60
  6. Step 6: Final answer
    x = 446,515.51

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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.