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Finding the Fourth Proportional to 424,464, 585,843.51 and 243,297.36

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Solution

The fourth proportional to 424,464, 585,843.51 and 243,297.36 is: 335,798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,464 : 585,843.51 = 243,297.36 : x
  2. Step 2: Convert to fraction form
    424,464/585,843.51 = 243,297.36/x
  3. Step 3: Cross multiply
    424,464x = 585,843.51 × 243,297.36
  4. Step 4: Simplify right side
    424,464x = 142,534,179,356.13
  5. Step 5: Solve for x
    x = 142,534,179,356.13/424,464
  6. Step 6: Final answer
    x = 335,798.04

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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.