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Finding the Fourth Proportional to 313,863.36, 470,795.16 and 127,006.08

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Solution

The fourth proportional to 313,863.36, 470,795.16 and 127,006.08 is: 190,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,863.36 : 470,795.16 = 127,006.08 : x
  2. Step 2: Convert to fraction form
    313,863.36/470,795.16 = 127,006.08/x
  3. Step 3: Cross multiply
    313,863.36x = 470,795.16 × 127,006.08
  4. Step 4: Simplify right side
    313,863.36x = 59,793,847,754.57
  5. Step 5: Solve for x
    x = 59,793,847,754.57/313,863.36
  6. Step 6: Final answer
    x = 190,509.17

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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.