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Finding the Fourth Proportional to 296,513.80, 408,782.28 and 187,563.94

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Solution

The fourth proportional to 296,513.80, 408,782.28 and 187,563.94 is: 258,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,513.80 : 408,782.28 = 187,563.94 : x
  2. Step 2: Convert to fraction form
    296,513.80/408,782.28 = 187,563.94/x
  3. Step 3: Cross multiply
    296,513.80x = 408,782.28 × 187,563.94
  4. Step 4: Simplify right side
    296,513.80x = 76,672,815,038.98
  5. Step 5: Solve for x
    x = 76,672,815,038.98/296,513.80
  6. Step 6: Final answer
    x = 258,580.93

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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.