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Finding the Fourth Proportional to 299,661.23, 413,545.07 and 172,336.93

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Solution

The fourth proportional to 299,661.23, 413,545.07 and 172,336.93 is: 237,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,661.23 : 413,545.07 = 172,336.93 : x
  2. Step 2: Convert to fraction form
    299,661.23/413,545.07 = 172,336.93/x
  3. Step 3: Cross multiply
    299,661.23x = 413,545.07 × 172,336.93
  4. Step 4: Simplify right side
    299,661.23x = 71,269,085,712.71
  5. Step 5: Solve for x
    x = 71,269,085,712.71/299,661.23
  6. Step 6: Final answer
    x = 237,832.19

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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.