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Finding the Fourth Proportional to 298,787.24, 412,322.64 and 162,827.12

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Solution

The fourth proportional to 298,787.24, 412,322.64 and 162,827.12 is: 224,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,787.24 : 412,322.64 = 162,827.12 : x
  2. Step 2: Convert to fraction form
    298,787.24/412,322.64 = 162,827.12/x
  3. Step 3: Cross multiply
    298,787.24x = 412,322.64 × 162,827.12
  4. Step 4: Simplify right side
    298,787.24x = 67,137,307,982.00
  5. Step 5: Solve for x
    x = 67,137,307,982.00/298,787.24
  6. Step 6: Final answer
    x = 224,699.38

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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.