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Finding the Fourth Proportional to 648,165.20, 972,118.20 and 311,205.20

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Solution

The fourth proportional to 648,165.20, 972,118.20 and 311,205.20 is: 466,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,165.20 : 972,118.20 = 311,205.20 : x
  2. Step 2: Convert to fraction form
    648,165.20/972,118.20 = 311,205.20/x
  3. Step 3: Cross multiply
    648,165.20x = 972,118.20 × 311,205.20
  4. Step 4: Simplify right side
    648,165.20x = 302,528,238,854.64
  5. Step 5: Solve for x
    x = 302,528,238,854.64/648,165.20
  6. Step 6: Final answer
    x = 466,745.57

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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.