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Finding the Fourth Proportional to 338,595.81, 507,971.72 and 113,950.36

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Solution

The fourth proportional to 338,595.81, 507,971.72 and 113,950.36 is: 170,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,595.81 : 507,971.72 = 113,950.36 : x
  2. Step 2: Convert to fraction form
    338,595.81/507,971.72 = 113,950.36/x
  3. Step 3: Cross multiply
    338,595.81x = 507,971.72 × 113,950.36
  4. Step 4: Simplify right side
    338,595.81x = 57,883,560,363.82
  5. Step 5: Solve for x
    x = 57,883,560,363.82/338,595.81
  6. Step 6: Final answer
    x = 170,951.79

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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.