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Finding the Fourth Proportional to 412,870.35, 619,306.47 and 113,355.03

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Solution

The fourth proportional to 412,870.35, 619,306.47 and 113,355.03 is: 170,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,870.35 : 619,306.47 = 113,355.03 : x
  2. Step 2: Convert to fraction form
    412,870.35/619,306.47 = 113,355.03/x
  3. Step 3: Cross multiply
    412,870.35x = 619,306.47 × 113,355.03
  4. Step 4: Simplify right side
    412,870.35x = 70,201,503,486.04
  5. Step 5: Solve for x
    x = 70,201,503,486.04/412,870.35
  6. Step 6: Final answer
    x = 170,032.80

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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.