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Finding the Fourth Proportional to 546,564, 820,269.36 and 379,259.04

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Solution

The fourth proportional to 546,564, 820,269.36 and 379,259.04 is: 569,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,564 : 820,269.36 = 379,259.04 : x
  2. Step 2: Convert to fraction form
    546,564/820,269.36 = 379,259.04/x
  3. Step 3: Cross multiply
    546,564x = 820,269.36 × 379,259.04
  4. Step 4: Simplify right side
    546,564x = 311,094,570,015.01
  5. Step 5: Solve for x
    x = 311,094,570,015.01/546,564
  6. Step 6: Final answer
    x = 569,182.33

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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.