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Finding the Fourth Proportional to 228,683.31, 343,339.16 and 116,438.94

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Solution

The fourth proportional to 228,683.31, 343,339.16 and 116,438.94 is: 174,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,683.31 : 343,339.16 = 116,438.94 : x
  2. Step 2: Convert to fraction form
    228,683.31/343,339.16 = 116,438.94/x
  3. Step 3: Cross multiply
    228,683.31x = 343,339.16 × 116,438.94
  4. Step 4: Simplify right side
    228,683.31x = 39,978,047,850.89
  5. Step 5: Solve for x
    x = 39,978,047,850.89/228,683.31
  6. Step 6: Final answer
    x = 174,818.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.