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Finding the Fourth Proportional to 412,834, 619,355.04 and 117,346

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Solution

The fourth proportional to 412,834, 619,355.04 and 117,346 is: 176,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,834 : 619,355.04 = 117,346 : x
  2. Step 2: Convert to fraction form
    412,834/619,355.04 = 117,346/x
  3. Step 3: Cross multiply
    412,834x = 619,355.04 × 117,346
  4. Step 4: Simplify right side
    412,834x = 72,678,836,523.84
  5. Step 5: Solve for x
    x = 72,678,836,523.84/412,834
  6. Step 6: Final answer
    x = 176,048.57

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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.