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Finding the Fourth Proportional to 546,009.78, 819,015.88 and 246,141.74

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Solution

The fourth proportional to 546,009.78, 819,015.88 and 246,141.74 is: 369,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,009.78 : 819,015.88 = 246,141.74 : x
  2. Step 2: Convert to fraction form
    546,009.78/819,015.88 = 246,141.74/x
  3. Step 3: Cross multiply
    546,009.78x = 819,015.88 × 246,141.74
  4. Step 4: Simplify right side
    546,009.78x = 201,593,993,790.83
  5. Step 5: Solve for x
    x = 201,593,993,790.83/546,009.78
  6. Step 6: Final answer
    x = 369,213.16

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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.