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Finding the Fourth Proportional to 303,804.81, 419,237.91 and 174,733.52

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Solution

The fourth proportional to 303,804.81, 419,237.91 and 174,733.52 is: 241,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,804.81 : 419,237.91 = 174,733.52 : x
  2. Step 2: Convert to fraction form
    303,804.81/419,237.91 = 174,733.52/x
  3. Step 3: Cross multiply
    303,804.81x = 419,237.91 × 174,733.52
  4. Step 4: Simplify right side
    303,804.81x = 73,254,913,635.55
  5. Step 5: Solve for x
    x = 73,254,913,635.55/303,804.81
  6. Step 6: Final answer
    x = 241,124.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.