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Finding the Fourth Proportional to 338,395.32, 507,574.31 and 113,732.57

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Solution

The fourth proportional to 338,395.32, 507,574.31 and 113,732.57 is: 170,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,395.32 : 507,574.31 = 113,732.57 : x
  2. Step 2: Convert to fraction form
    338,395.32/507,574.31 = 113,732.57/x
  3. Step 3: Cross multiply
    338,395.32x = 507,574.31 × 113,732.57
  4. Step 4: Simplify right side
    338,395.32x = 57,727,727,635.74
  5. Step 5: Solve for x
    x = 57,727,727,635.74/338,395.32
  6. Step 6: Final answer
    x = 170,592.57

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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.