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Finding the Fourth Proportional to 412,864.09, 619,297.10 and 113,348.77

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Solution

The fourth proportional to 412,864.09, 619,297.10 and 113,348.77 is: 170,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,864.09 : 619,297.10 = 113,348.77 : x
  2. Step 2: Convert to fraction form
    412,864.09/619,297.10 = 113,348.77/x
  3. Step 3: Cross multiply
    412,864.09x = 619,297.10 × 113,348.77
  4. Step 4: Simplify right side
    412,864.09x = 70,196,564,549.57
  5. Step 5: Solve for x
    x = 70,196,564,549.57/412,864.09
  6. Step 6: Final answer
    x = 170,023.42

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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.