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Finding the Fourth Proportional to 298,762.41, 412,286.76 and 162,797.52

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Solution

The fourth proportional to 298,762.41, 412,286.76 and 162,797.52 is: 224,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,762.41 : 412,286.76 = 162,797.52 : x
  2. Step 2: Convert to fraction form
    298,762.41/412,286.76 = 162,797.52/x
  3. Step 3: Cross multiply
    298,762.41x = 412,286.76 × 162,797.52
  4. Step 4: Simplify right side
    298,762.41x = 67,119,262,056.84
  5. Step 5: Solve for x
    x = 67,119,262,056.84/298,762.41
  6. Step 6: Final answer
    x = 224,657.65

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1.5x scale

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.