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Finding the Fourth Proportional to 546,565, 820,270.86 and 379,260.04

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Solution

The fourth proportional to 546,565, 820,270.86 and 379,260.04 is: 569,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,565 : 820,270.86 = 379,260.04 : x
  2. Step 2: Convert to fraction form
    546,565/820,270.86 = 379,260.04/x
  3. Step 3: Cross multiply
    546,565x = 820,270.86 × 379,260.04
  4. Step 4: Simplify right side
    546,565x = 311,095,959,174.43
  5. Step 5: Solve for x
    x = 311,095,959,174.43/546,565
  6. Step 6: Final answer
    x = 569,183.83

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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.