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Finding the Fourth Proportional to 298,799.02, 412,342.64 and 162,832.92

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Solution

The fourth proportional to 298,799.02, 412,342.64 and 162,832.92 is: 224,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,799.02 : 412,342.64 = 162,832.92 : x
  2. Step 2: Convert to fraction form
    298,799.02/412,342.64 = 162,832.92/x
  3. Step 3: Cross multiply
    298,799.02x = 412,342.64 × 162,832.92
  4. Step 4: Simplify right side
    298,799.02x = 67,142,956,111.71
  5. Step 5: Solve for x
    x = 67,142,956,111.71/298,799.02
  6. Step 6: Final answer
    x = 224,709.43

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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.