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Finding the Fourth Proportional to 313,435.16, 470,149.50 and 76,779.08

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Solution

The fourth proportional to 313,435.16, 470,149.50 and 76,779.08 is: 115,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,435.16 : 470,149.50 = 76,779.08 : x
  2. Step 2: Convert to fraction form
    313,435.16/470,149.50 = 76,779.08/x
  3. Step 3: Cross multiply
    313,435.16x = 470,149.50 × 76,779.08
  4. Step 4: Simplify right side
    313,435.16x = 36,097,646,072.46
  5. Step 5: Solve for x
    x = 36,097,646,072.46/313,435.16
  6. Step 6: Final answer
    x = 115,167.83

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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.