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Finding the Fourth Proportional to 299,645.48, 413,594.16 and 172,362.08

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Solution

The fourth proportional to 299,645.48, 413,594.16 and 172,362.08 is: 237,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,645.48 : 413,594.16 = 172,362.08 : x
  2. Step 2: Convert to fraction form
    299,645.48/413,594.16 = 172,362.08/x
  3. Step 3: Cross multiply
    299,645.48x = 413,594.16 × 172,362.08
  4. Step 4: Simplify right side
    299,645.48x = 71,287,949,693.45
  5. Step 5: Solve for x
    x = 71,287,949,693.45/299,645.48
  6. Step 6: Final answer
    x = 237,907.64

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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.