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Finding the Fourth Proportional to 296,503.76, 408,768.48 and 187,553.90

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Solution

The fourth proportional to 296,503.76, 408,768.48 and 187,553.90 is: 258,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,503.76 : 408,768.48 = 187,553.90 : x
  2. Step 2: Convert to fraction form
    296,503.76/408,768.48 = 187,553.90/x
  3. Step 3: Cross multiply
    296,503.76x = 408,768.48 × 187,553.90
  4. Step 4: Simplify right side
    296,503.76x = 76,666,123,642.99
  5. Step 5: Solve for x
    x = 76,666,123,642.99/296,503.76
  6. Step 6: Final answer
    x = 258,567.12

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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.