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Finding the Fourth Proportional to 313,976.16, 470,985.84 and 103,761.72

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Solution

The fourth proportional to 313,976.16, 470,985.84 and 103,761.72 is: 155,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,976.16 : 470,985.84 = 103,761.72 : x
  2. Step 2: Convert to fraction form
    313,976.16/470,985.84 = 103,761.72/x
  3. Step 3: Cross multiply
    313,976.16x = 470,985.84 × 103,761.72
  4. Step 4: Simplify right side
    313,976.16x = 48,870,300,854.04
  5. Step 5: Solve for x
    x = 48,870,300,854.04/313,976.16
  6. Step 6: Final answer
    x = 155,649.72

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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.