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Finding the Fourth Proportional to 338,594.81, 507,970.22 and 113,949.36

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Solution

The fourth proportional to 338,594.81, 507,970.22 and 113,949.36 is: 170,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,594.81 : 507,970.22 = 113,949.36 : x
  2. Step 2: Convert to fraction form
    338,594.81/507,970.22 = 113,949.36/x
  3. Step 3: Cross multiply
    338,594.81x = 507,970.22 × 113,949.36
  4. Step 4: Simplify right side
    338,594.81x = 57,882,880,898.31
  5. Step 5: Solve for x
    x = 57,882,880,898.31/338,594.81
  6. Step 6: Final answer
    x = 170,950.29

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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.