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Finding the Fourth Proportional to 338,189.74, 507,292.80 and 113,557.51

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Solution

The fourth proportional to 338,189.74, 507,292.80 and 113,557.51 is: 170,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,189.74 : 507,292.80 = 113,557.51 : x
  2. Step 2: Convert to fraction form
    338,189.74/507,292.80 = 113,557.51/x
  3. Step 3: Cross multiply
    338,189.74x = 507,292.80 × 113,557.51
  4. Step 4: Simplify right side
    338,189.74x = 57,606,907,208.93
  5. Step 5: Solve for x
    x = 57,606,907,208.93/338,189.74
  6. Step 6: Final answer
    x = 170,339.02

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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.