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Finding the Fourth Proportional to 298,583.74, 412,045.92 and 162,617.92

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Solution

The fourth proportional to 298,583.74, 412,045.92 and 162,617.92 is: 224,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,583.74 : 412,045.92 = 162,617.92 : x
  2. Step 2: Convert to fraction form
    298,583.74/412,045.92 = 162,617.92/x
  3. Step 3: Cross multiply
    298,583.74x = 412,045.92 × 162,617.92
  4. Step 4: Simplify right side
    298,583.74x = 67,006,050,454.89
  5. Step 5: Solve for x
    x = 67,006,050,454.89/298,583.74
  6. Step 6: Final answer
    x = 224,412.93

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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.