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Finding the Fourth Proportional to 306,298.26, 459,496.50 and 106,675.38

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Solution

The fourth proportional to 306,298.26, 459,496.50 and 106,675.38 is: 160,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,298.26 : 459,496.50 = 106,675.38 : x
  2. Step 2: Convert to fraction form
    306,298.26/459,496.50 = 106,675.38/x
  3. Step 3: Cross multiply
    306,298.26x = 459,496.50 × 106,675.38
  4. Step 4: Simplify right side
    306,298.26x = 49,016,963,346.14
  5. Step 5: Solve for x
    x = 49,016,963,346.14/306,298.26
  6. Step 6: Final answer
    x = 160,030.17

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