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Finding the Fourth Proportional to 337,342, 465,525.72 and 186,435.76

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Solution

The fourth proportional to 337,342, 465,525.72 and 186,435.76 is: 257,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,342 : 465,525.72 = 186,435.76 : x
  2. Step 2: Convert to fraction form
    337,342/465,525.72 = 186,435.76/x
  3. Step 3: Cross multiply
    337,342x = 465,525.72 × 186,435.76
  4. Step 4: Simplify right side
    337,342x = 86,790,641,407.75
  5. Step 5: Solve for x
    x = 86,790,641,407.75/337,342
  6. Step 6: Final answer
    x = 257,277.90

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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.