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Finding the Fourth Proportional to 412,756.32, 619,196.00 and 146,494.54

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Solution

The fourth proportional to 412,756.32, 619,196.00 and 146,494.54 is: 219,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,756.32 : 619,196.00 = 146,494.54 : x
  2. Step 2: Convert to fraction form
    412,756.32/619,196.00 = 146,494.54/x
  3. Step 3: Cross multiply
    412,756.32x = 619,196.00 × 146,494.54
  4. Step 4: Simplify right side
    412,756.32x = 90,708,834,055.39
  5. Step 5: Solve for x
    x = 90,708,834,055.39/412,756.32
  6. Step 6: Final answer
    x = 219,763.64

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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.