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Finding the Fourth Proportional to 412,843, 619,368.54 and 117,355

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Solution

The fourth proportional to 412,843, 619,368.54 and 117,355 is: 176,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,843 : 619,368.54 = 117,355 : x
  2. Step 2: Convert to fraction form
    412,843/619,368.54 = 117,355/x
  3. Step 3: Cross multiply
    412,843x = 619,368.54 × 117,355
  4. Step 4: Simplify right side
    412,843x = 72,685,995,011.70
  5. Step 5: Solve for x
    x = 72,685,995,011.70/412,843
  6. Step 6: Final answer
    x = 176,062.07

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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.