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Finding the Fourth Proportional to 646,047.24, 969,462.98 and 241,533.96

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Solution

The fourth proportional to 646,047.24, 969,462.98 and 241,533.96 is: 362,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,047.24 : 969,462.98 = 241,533.96 : x
  2. Step 2: Convert to fraction form
    646,047.24/969,462.98 = 241,533.96/x
  3. Step 3: Cross multiply
    646,047.24x = 969,462.98 × 241,533.96
  4. Step 4: Simplify right side
    646,047.24x = 234,158,232,632.80
  5. Step 5: Solve for x
    x = 234,158,232,632.80/646,047.24
  6. Step 6: Final answer
    x = 362,447.54

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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.