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Finding the Fourth Proportional to 338,461.56, 507,717.84 and 113,822.64

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Solution

The fourth proportional to 338,461.56, 507,717.84 and 113,822.64 is: 170,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,461.56 : 507,717.84 = 113,822.64 : x
  2. Step 2: Convert to fraction form
    338,461.56/507,717.84 = 113,822.64/x
  3. Step 3: Cross multiply
    338,461.56x = 507,717.84 × 113,822.64
  4. Step 4: Simplify right side
    338,461.56x = 57,789,784,923.90
  5. Step 5: Solve for x
    x = 57,789,784,923.90/338,461.56
  6. Step 6: Final answer
    x = 170,742.54

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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.