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Finding the Fourth Proportional to 298,597.76, 412,065.33 and 162,632.24

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Solution

The fourth proportional to 298,597.76, 412,065.33 and 162,632.24 is: 224,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,597.76 : 412,065.33 = 162,632.24 : x
  2. Step 2: Convert to fraction form
    298,597.76/412,065.33 = 162,632.24/x
  3. Step 3: Cross multiply
    298,597.76x = 412,065.33 × 162,632.24
  4. Step 4: Simplify right side
    298,597.76x = 67,015,107,644.24
  5. Step 5: Solve for x
    x = 67,015,107,644.24/298,597.76
  6. Step 6: Final answer
    x = 224,432.72

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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.