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Finding the Fourth Proportional to 298,824.45, 412,365.62 and 162,855.53

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Solution

The fourth proportional to 298,824.45, 412,365.62 and 162,855.53 is: 224,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,824.45 : 412,365.62 = 162,855.53 : x
  2. Step 2: Convert to fraction form
    298,824.45/412,365.62 = 162,855.53/x
  3. Step 3: Cross multiply
    298,824.45x = 412,365.62 × 162,855.53
  4. Step 4: Simplify right side
    298,824.45x = 67,156,018,722.77
  5. Step 5: Solve for x
    x = 67,156,018,722.77/298,824.45
  6. Step 6: Final answer
    x = 224,734.02

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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.