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Finding the Fourth Proportional to 306,374.81, 459,574.56 and 106,715.37

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Solution

The fourth proportional to 306,374.81, 459,574.56 and 106,715.37 is: 160,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,374.81 : 459,574.56 = 106,715.37 : x
  2. Step 2: Convert to fraction form
    306,374.81/459,574.56 = 106,715.37/x
  3. Step 3: Cross multiply
    306,374.81x = 459,574.56 × 106,715.37
  4. Step 4: Simplify right side
    306,374.81x = 49,043,670,936.39
  5. Step 5: Solve for x
    x = 49,043,670,936.39/306,374.81
  6. Step 6: Final answer
    x = 160,077.36

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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.