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Finding the Fourth Proportional to 298,752.08, 412,272.67 and 162,787.14

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Solution

The fourth proportional to 298,752.08, 412,272.67 and 162,787.14 is: 224,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,752.08 : 412,272.67 = 162,787.14 : x
  2. Step 2: Convert to fraction form
    298,752.08/412,272.67 = 162,787.14/x
  3. Step 3: Cross multiply
    298,752.08x = 412,272.67 × 162,787.14
  4. Step 4: Simplify right side
    298,752.08x = 67,112,688,849.46
  5. Step 5: Solve for x
    x = 67,112,688,849.46/298,752.08
  6. Step 6: Final answer
    x = 224,643.42

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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.