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Finding the Fourth Proportional to 462,350.34, 638,039.70 and 324,722.70

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Solution

The fourth proportional to 462,350.34, 638,039.70 and 324,722.70 is: 448,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,350.34 : 638,039.70 = 324,722.70 : x
  2. Step 2: Convert to fraction form
    462,350.34/638,039.70 = 324,722.70/x
  3. Step 3: Cross multiply
    462,350.34x = 638,039.70 × 324,722.70
  4. Step 4: Simplify right side
    462,350.34x = 207,185,974,091.19
  5. Step 5: Solve for x
    x = 207,185,974,091.19/462,350.34
  6. Step 6: Final answer
    x = 448,114.68

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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.