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Finding the Fourth Proportional to 468,698.09, 646,804.19 and 253,838.16

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Solution

The fourth proportional to 468,698.09, 646,804.19 and 253,838.16 is: 350,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,698.09 : 646,804.19 = 253,838.16 : x
  2. Step 2: Convert to fraction form
    468,698.09/646,804.19 = 253,838.16/x
  3. Step 3: Cross multiply
    468,698.09x = 646,804.19 × 253,838.16
  4. Step 4: Simplify right side
    468,698.09x = 164,183,586,104.49
  5. Step 5: Solve for x
    x = 164,183,586,104.49/468,698.09
  6. Step 6: Final answer
    x = 350,297.11

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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.