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Finding the Fourth Proportional to 338,212.63, 507,365.61 and 113,637.27

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Solution

The fourth proportional to 338,212.63, 507,365.61 and 113,637.27 is: 170,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,212.63 : 507,365.61 = 113,637.27 : x
  2. Step 2: Convert to fraction form
    338,212.63/507,365.61 = 113,637.27/x
  3. Step 3: Cross multiply
    338,212.63x = 507,365.61 × 113,637.27
  4. Step 4: Simplify right side
    338,212.63x = 57,655,642,812.28
  5. Step 5: Solve for x
    x = 57,655,642,812.28/338,212.63
  6. Step 6: Final answer
    x = 170,471.59

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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.