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Finding the Fourth Proportional to 313,689.80, 470,534.70 and 208,166.60

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Solution

The fourth proportional to 313,689.80, 470,534.70 and 208,166.60 is: 312,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,689.80 : 470,534.70 = 208,166.60 : x
  2. Step 2: Convert to fraction form
    313,689.80/470,534.70 = 208,166.60/x
  3. Step 3: Cross multiply
    313,689.80x = 470,534.70 × 208,166.60
  4. Step 4: Simplify right side
    313,689.80x = 97,949,608,681.02
  5. Step 5: Solve for x
    x = 97,949,608,681.02/313,689.80
  6. Step 6: Final answer
    x = 312,249.90

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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.