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Finding the Fourth Proportional to 298,852.02, 412,415.94 and 169,790.72

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Solution

The fourth proportional to 298,852.02, 412,415.94 and 169,790.72 is: 234,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,852.02 : 412,415.94 = 169,790.72 : x
  2. Step 2: Convert to fraction form
    298,852.02/412,415.94 = 169,790.72/x
  3. Step 3: Cross multiply
    298,852.02x = 412,415.94 × 169,790.72
  4. Step 4: Simplify right side
    298,852.02x = 70,024,397,330.00
  5. Step 5: Solve for x
    x = 70,024,397,330.00/298,852.02
  6. Step 6: Final answer
    x = 234,311.27

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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.