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Finding the Fourth Proportional to 338,582.70, 507,951.90 and 113,937.12

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Solution

The fourth proportional to 338,582.70, 507,951.90 and 113,937.12 is: 170,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,582.70 : 507,951.90 = 113,937.12 : x
  2. Step 2: Convert to fraction form
    338,582.70/507,951.90 = 113,937.12/x
  3. Step 3: Cross multiply
    338,582.70x = 507,951.90 × 113,937.12
  4. Step 4: Simplify right side
    338,582.70x = 57,874,576,584.53
  5. Step 5: Solve for x
    x = 57,874,576,584.53/338,582.70
  6. Step 6: Final answer
    x = 170,931.88

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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.