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Finding the Fourth Proportional to 335,796, 463,496.16 and 268,283.04

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Solution

The fourth proportional to 335,796, 463,496.16 and 268,283.04 is: 370,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,796 : 463,496.16 = 268,283.04 : x
  2. Step 2: Convert to fraction form
    335,796/463,496.16 = 268,283.04/x
  3. Step 3: Cross multiply
    335,796x = 463,496.16 × 268,283.04
  4. Step 4: Simplify right side
    335,796x = 124,348,158,833.13
  5. Step 5: Solve for x
    x = 124,348,158,833.13/335,796
  6. Step 6: Final answer
    x = 370,308.64

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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.