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Finding the Fourth Proportional to 713,121, 983,930.81 and 422,800.67

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Solution

The fourth proportional to 713,121, 983,930.81 and 422,800.67 is: 583,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,121 : 983,930.81 = 422,800.67 : x
  2. Step 2: Convert to fraction form
    713,121/983,930.81 = 422,800.67/x
  3. Step 3: Cross multiply
    713,121x = 983,930.81 × 422,800.67
  4. Step 4: Simplify right side
    713,121x = 416,006,598,667.99
  5. Step 5: Solve for x
    x = 416,006,598,667.99/713,121
  6. Step 6: Final answer
    x = 583,360.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.