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Finding the Fourth Proportional to 464,228.12, 696,342.20 and 306,419.68

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Solution

The fourth proportional to 464,228.12, 696,342.20 and 306,419.68 is: 459,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,228.12 : 696,342.20 = 306,419.68 : x
  2. Step 2: Convert to fraction form
    464,228.12/696,342.20 = 306,419.68/x
  3. Step 3: Cross multiply
    464,228.12x = 696,342.20 × 306,419.68
  4. Step 4: Simplify right side
    464,228.12x = 213,372,954,094.50
  5. Step 5: Solve for x
    x = 213,372,954,094.50/464,228.12
  6. Step 6: Final answer
    x = 459,629.53

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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.