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Finding the Fourth Proportional to 468,102.87, 645,998.54 and 264,141.90

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Solution

The fourth proportional to 468,102.87, 645,998.54 and 264,141.90 is: 364,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,102.87 : 645,998.54 = 264,141.90 : x
  2. Step 2: Convert to fraction form
    468,102.87/645,998.54 = 264,141.90/x
  3. Step 3: Cross multiply
    468,102.87x = 645,998.54 × 264,141.90
  4. Step 4: Simplify right side
    468,102.87x = 170,635,280,432.12
  5. Step 5: Solve for x
    x = 170,635,280,432.12/468,102.87
  6. Step 6: Final answer
    x = 364,525.17

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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.