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Finding the Fourth Proportional to 413,059.05, 619,603.83 and 113,563.08

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Solution

The fourth proportional to 413,059.05, 619,603.83 and 113,563.08 is: 170,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,059.05 : 619,603.83 = 113,563.08 : x
  2. Step 2: Convert to fraction form
    413,059.05/619,603.83 = 113,563.08/x
  3. Step 3: Cross multiply
    413,059.05x = 619,603.83 × 113,563.08
  4. Step 4: Simplify right side
    413,059.05x = 70,364,119,314.60
  5. Step 5: Solve for x
    x = 70,364,119,314.60/413,059.05
  6. Step 6: Final answer
    x = 170,348.81

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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.