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Finding the Fourth Proportional to 305,271.94, 421,300.50 and 169,349.74

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Solution

The fourth proportional to 305,271.94, 421,300.50 and 169,349.74 is: 233,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,271.94 : 421,300.50 = 169,349.74 : x
  2. Step 2: Convert to fraction form
    305,271.94/421,300.50 = 169,349.74/x
  3. Step 3: Cross multiply
    305,271.94x = 421,300.50 × 169,349.74
  4. Step 4: Simplify right side
    305,271.94x = 71,347,130,136.87
  5. Step 5: Solve for x
    x = 71,347,130,136.87/305,271.94
  6. Step 6: Final answer
    x = 233,716.63

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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.