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Finding the Fourth Proportional to 286,509.60, 430,223.40 and 227,833.20

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Solution

The fourth proportional to 286,509.60, 430,223.40 and 227,833.20 is: 342,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,509.60 : 430,223.40 = 227,833.20 : x
  2. Step 2: Convert to fraction form
    286,509.60/430,223.40 = 227,833.20/x
  3. Step 3: Cross multiply
    286,509.60x = 430,223.40 × 227,833.20
  4. Step 4: Simplify right side
    286,509.60x = 98,019,173,936.88
  5. Step 5: Solve for x
    x = 98,019,173,936.88/286,509.60
  6. Step 6: Final answer
    x = 342,114.80

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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.