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Finding the Fourth Proportional to 424,467.93, 585,712.54 and 286,946.08

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Solution

The fourth proportional to 424,467.93, 585,712.54 and 286,946.08 is: 395,949.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,467.93 : 585,712.54 = 286,946.08 : x
  2. Step 2: Convert to fraction form
    424,467.93/585,712.54 = 286,946.08/x
  3. Step 3: Cross multiply
    424,467.93x = 585,712.54 × 286,946.08
  4. Step 4: Simplify right side
    424,467.93x = 168,067,916,380.44
  5. Step 5: Solve for x
    x = 168,067,916,380.44/424,467.93
  6. Step 6: Final answer
    x = 395,949.62

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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.