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Finding the Fourth Proportional to 298,750.95, 412,271.10 and 162,786.04

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Solution

The fourth proportional to 298,750.95, 412,271.10 and 162,786.04 is: 224,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,750.95 : 412,271.10 = 162,786.04 : x
  2. Step 2: Convert to fraction form
    298,750.95/412,271.10 = 162,786.04/x
  3. Step 3: Cross multiply
    298,750.95x = 412,271.10 × 162,786.04
  4. Step 4: Simplify right side
    298,750.95x = 67,111,978,744.77
  5. Step 5: Solve for x
    x = 67,111,978,744.77/298,750.95
  6. Step 6: Final answer
    x = 224,641.89

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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.