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Finding the Fourth Proportional to 299,665.65, 413,551.14 and 172,341.33

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Solution

The fourth proportional to 299,665.65, 413,551.14 and 172,341.33 is: 237,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,665.65 : 413,551.14 = 172,341.33 : x
  2. Step 2: Convert to fraction form
    299,665.65/413,551.14 = 172,341.33/x
  3. Step 3: Cross multiply
    299,665.65x = 413,551.14 × 172,341.33
  4. Step 4: Simplify right side
    299,665.65x = 71,271,953,490.62
  5. Step 5: Solve for x
    x = 71,271,953,490.62/299,665.65
  6. Step 6: Final answer
    x = 237,838.25

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1.5x scale

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.