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Finding the Fourth Proportional to 312,435.84, 468,358.40 and 283,797.12

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Solution

The fourth proportional to 312,435.84, 468,358.40 and 283,797.12 is: 425,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,435.84 : 468,358.40 = 283,797.12 : x
  2. Step 2: Convert to fraction form
    312,435.84/468,358.40 = 283,797.12/x
  3. Step 3: Cross multiply
    312,435.84x = 468,358.40 × 283,797.12
  4. Step 4: Simplify right side
    312,435.84x = 132,918,765,047.81
  5. Step 5: Solve for x
    x = 132,918,765,047.81/312,435.84
  6. Step 6: Final answer
    x = 425,427.39

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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.