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Finding the Fourth Proportional to 305,588, 421,666.50 and 169,622.98

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Solution

The fourth proportional to 305,588, 421,666.50 and 169,622.98 is: 234,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,588 : 421,666.50 = 169,622.98 : x
  2. Step 2: Convert to fraction form
    305,588/421,666.50 = 169,622.98/x
  3. Step 3: Cross multiply
    305,588x = 421,666.50 × 169,622.98
  4. Step 4: Simplify right side
    305,588x = 71,524,328,296.17
  5. Step 5: Solve for x
    x = 71,524,328,296.17/305,588
  6. Step 6: Final answer
    x = 234,054.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.