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Finding the Fourth Proportional to 298,711.08, 412,217.51 and 162,750.69

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Solution

The fourth proportional to 298,711.08, 412,217.51 and 162,750.69 is: 224,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,711.08 : 412,217.51 = 162,750.69 : x
  2. Step 2: Convert to fraction form
    298,711.08/412,217.51 = 162,750.69/x
  3. Step 3: Cross multiply
    298,711.08x = 412,217.51 × 162,750.69
  4. Step 4: Simplify right side
    298,711.08x = 67,088,683,368.83
  5. Step 5: Solve for x
    x = 67,088,683,368.83/298,711.08
  6. Step 6: Final answer
    x = 224,593.89

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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.