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Finding the Fourth Proportional to 650,584.70, 976,210.65 and 313,912.47

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Solution

The fourth proportional to 650,584.70, 976,210.65 and 313,912.47 is: 471,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,584.70 : 976,210.65 = 313,912.47 : x
  2. Step 2: Convert to fraction form
    650,584.70/976,210.65 = 313,912.47/x
  3. Step 3: Cross multiply
    650,584.70x = 976,210.65 × 313,912.47
  4. Step 4: Simplify right side
    650,584.70x = 306,444,696,381.81
  5. Step 5: Solve for x
    x = 306,444,696,381.81/650,584.70
  6. Step 6: Final answer
    x = 471,029.67

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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.