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Finding the Fourth Proportional to 294,945.93, 407,193.35 and 194,635.53

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Solution

The fourth proportional to 294,945.93, 407,193.35 and 194,635.53 is: 268,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,945.93 : 407,193.35 = 194,635.53 : x
  2. Step 2: Convert to fraction form
    294,945.93/407,193.35 = 194,635.53/x
  3. Step 3: Cross multiply
    294,945.93x = 407,193.35 × 194,635.53
  4. Step 4: Simplify right side
    294,945.93x = 79,254,292,516.55
  5. Step 5: Solve for x
    x = 79,254,292,516.55/294,945.93
  6. Step 6: Final answer
    x = 268,707.87

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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.