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Finding the Fourth Proportional to 298,622.29, 412,095.24 and 162,655.81

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Solution

The fourth proportional to 298,622.29, 412,095.24 and 162,655.81 is: 224,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,622.29 : 412,095.24 = 162,655.81 : x
  2. Step 2: Convert to fraction form
    298,622.29/412,095.24 = 162,655.81/x
  3. Step 3: Cross multiply
    298,622.29x = 412,095.24 × 162,655.81
  4. Step 4: Simplify right side
    298,622.29x = 67,029,685,059.34
  5. Step 5: Solve for x
    x = 67,029,685,059.34/298,622.29
  6. Step 6: Final answer
    x = 224,463.10

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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.