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Finding the Fourth Proportional to 209,898.36, 314,864.46 and 65,794.32

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Solution

The fourth proportional to 209,898.36, 314,864.46 and 65,794.32 is: 98,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,898.36 : 314,864.46 = 65,794.32 : x
  2. Step 2: Convert to fraction form
    209,898.36/314,864.46 = 65,794.32/x
  3. Step 3: Cross multiply
    209,898.36x = 314,864.46 × 65,794.32
  4. Step 4: Simplify right side
    209,898.36x = 20,716,293,037.87
  5. Step 5: Solve for x
    x = 20,716,293,037.87/209,898.36
  6. Step 6: Final answer
    x = 98,696.78

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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.