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Finding the Fourth Proportional to 767,876.22, 1,151,683.11 and 206,779.50

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Solution

The fourth proportional to 767,876.22, 1,151,683.11 and 206,779.50 is: 310,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,876.22 : 1,151,683.11 = 206,779.50 : x
  2. Step 2: Convert to fraction form
    767,876.22/1,151,683.11 = 206,779.50/x
  3. Step 3: Cross multiply
    767,876.22x = 1,151,683.11 × 206,779.50
  4. Step 4: Simplify right side
    767,876.22x = 238,144,457,644.25
  5. Step 5: Solve for x
    x = 238,144,457,644.25/767,876.22
  6. Step 6: Final answer
    x = 310,133.91

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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.