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Finding the Fourth Proportional to 338,282.46, 507,056.91 and 169,395.64

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Solution

The fourth proportional to 338,282.46, 507,056.91 and 169,395.64 is: 253,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,282.46 : 507,056.91 = 169,395.64 : x
  2. Step 2: Convert to fraction form
    338,282.46/507,056.91 = 169,395.64/x
  3. Step 3: Cross multiply
    338,282.46x = 507,056.91 × 169,395.64
  4. Step 4: Simplify right side
    338,282.46x = 85,893,229,785.87
  5. Step 5: Solve for x
    x = 85,893,229,785.87/338,282.46
  6. Step 6: Final answer
    x = 253,909.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.