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Finding the Fourth Proportional to 470,355.36, 705,522.84 and 115,371.12

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Solution

The fourth proportional to 470,355.36, 705,522.84 and 115,371.12 is: 173,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,355.36 : 705,522.84 = 115,371.12 : x
  2. Step 2: Convert to fraction form
    470,355.36/705,522.84 = 115,371.12/x
  3. Step 3: Cross multiply
    470,355.36x = 705,522.84 × 115,371.12
  4. Step 4: Simplify right side
    470,355.36x = 81,396,960,236.38
  5. Step 5: Solve for x
    x = 81,396,960,236.38/470,355.36
  6. Step 6: Final answer
    x = 173,054.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.