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Finding the Fourth Proportional to 306,586.61, 459,860.97 and 114,423.63

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Solution

The fourth proportional to 306,586.61, 459,860.97 and 114,423.63 is: 171,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,586.61 : 459,860.97 = 114,423.63 : x
  2. Step 2: Convert to fraction form
    306,586.61/459,860.97 = 114,423.63/x
  3. Step 3: Cross multiply
    306,586.61x = 459,860.97 × 114,423.63
  4. Step 4: Simplify right side
    306,586.61x = 52,618,960,187.33
  5. Step 5: Solve for x
    x = 52,618,960,187.33/306,586.61
  6. Step 6: Final answer
    x = 171,628.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.