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Finding the Fourth Proportional to 298,817.79, 412,356.51 and 162,848.85

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Solution

The fourth proportional to 298,817.79, 412,356.51 and 162,848.85 is: 224,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,817.79 : 412,356.51 = 162,848.85 : x
  2. Step 2: Convert to fraction form
    298,817.79/412,356.51 = 162,848.85/x
  3. Step 3: Cross multiply
    298,817.79x = 412,356.51 × 162,848.85
  4. Step 4: Simplify right side
    298,817.79x = 67,151,783,443.51
  5. Step 5: Solve for x
    x = 67,151,783,443.51/298,817.79
  6. Step 6: Final answer
    x = 224,724.85

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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.