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Finding the Fourth Proportional to 297,576.26, 410,502.74 and 190,032.98

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Solution

The fourth proportional to 297,576.26, 410,502.74 and 190,032.98 is: 262,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,576.26 : 410,502.74 = 190,032.98 : x
  2. Step 2: Convert to fraction form
    297,576.26/410,502.74 = 190,032.98/x
  3. Step 3: Cross multiply
    297,576.26x = 410,502.74 × 190,032.98
  4. Step 4: Simplify right side
    297,576.26x = 78,009,058,980.37
  5. Step 5: Solve for x
    x = 78,009,058,980.37/297,576.26
  6. Step 6: Final answer
    x = 262,148.13

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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.