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Finding the Fourth Proportional to 306,533.26, 459,800.14 and 146,571.55

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Solution

The fourth proportional to 306,533.26, 459,800.14 and 146,571.55 is: 219,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,533.26 : 459,800.14 = 146,571.55 : x
  2. Step 2: Convert to fraction form
    306,533.26/459,800.14 = 146,571.55/x
  3. Step 3: Cross multiply
    306,533.26x = 459,800.14 × 146,571.55
  4. Step 4: Simplify right side
    306,533.26x = 67,393,619,210.02
  5. Step 5: Solve for x
    x = 67,393,619,210.02/306,533.26
  6. Step 6: Final answer
    x = 219,857.44

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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.