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Finding the Fourth Proportional to 298,740.42, 412,256.55 and 162,775.49

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Solution

The fourth proportional to 298,740.42, 412,256.55 and 162,775.49 is: 224,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,740.42 : 412,256.55 = 162,775.49 : x
  2. Step 2: Convert to fraction form
    298,740.42/412,256.55 = 162,775.49/x
  3. Step 3: Cross multiply
    298,740.42x = 412,256.55 × 162,775.49
  4. Step 4: Simplify right side
    298,740.42x = 67,105,261,931.96
  5. Step 5: Solve for x
    x = 67,105,261,931.96/298,740.42
  6. Step 6: Final answer
    x = 224,627.33

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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.