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Finding the Fourth Proportional to 301,857.14, 416,564.85 and 188,746.10

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Solution

The fourth proportional to 301,857.14, 416,564.85 and 188,746.10 is: 260,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,857.14 : 416,564.85 = 188,746.10 : x
  2. Step 2: Convert to fraction form
    301,857.14/416,564.85 = 188,746.10/x
  3. Step 3: Cross multiply
    301,857.14x = 416,564.85 × 188,746.10
  4. Step 4: Simplify right side
    301,857.14x = 78,624,990,834.59
  5. Step 5: Solve for x
    x = 78,624,990,834.59/301,857.14
  6. Step 6: Final answer
    x = 260,470.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.