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Finding the Fourth Proportional to 313,696.71, 470,585.16 and 114,111.09

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Solution

The fourth proportional to 313,696.71, 470,585.16 and 114,111.09 is: 171,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,696.71 : 470,585.16 = 114,111.09 : x
  2. Step 2: Convert to fraction form
    313,696.71/470,585.16 = 114,111.09/x
  3. Step 3: Cross multiply
    313,696.71x = 470,585.16 × 114,111.09
  4. Step 4: Simplify right side
    313,696.71x = 53,698,985,545.42
  5. Step 5: Solve for x
    x = 53,698,985,545.42/313,696.71
  6. Step 6: Final answer
    x = 171,181.22

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1.5x scale

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.