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Finding the Fourth Proportional to 286,835.74, 430,059.50 and 160,563.14

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Solution

The fourth proportional to 286,835.74, 430,059.50 and 160,563.14 is: 240,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,835.74 : 430,059.50 = 160,563.14 : x
  2. Step 2: Convert to fraction form
    286,835.74/430,059.50 = 160,563.14/x
  3. Step 3: Cross multiply
    286,835.74x = 430,059.50 × 160,563.14
  4. Step 4: Simplify right side
    286,835.74x = 69,051,705,839.22
  5. Step 5: Solve for x
    x = 69,051,705,839.22/286,835.74
  6. Step 6: Final answer
    x = 240,736.06

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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.