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Finding the Fourth Proportional to 650,790.81, 976,815.91 and 314,068.50

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Solution

The fourth proportional to 650,790.81, 976,815.91 and 314,068.50 is: 471,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,790.81 : 976,815.91 = 314,068.50 : x
  2. Step 2: Convert to fraction form
    650,790.81/976,815.91 = 314,068.50/x
  3. Step 3: Cross multiply
    650,790.81x = 976,815.91 × 314,068.50
  4. Step 4: Simplify right side
    650,790.81x = 306,787,102,745.76
  5. Step 5: Solve for x
    x = 306,787,102,745.76/650,790.81
  6. Step 6: Final answer
    x = 471,406.63

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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.