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Finding the Fourth Proportional to 299,767.48, 413,762.54 and 172,484.08

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Solution

The fourth proportional to 299,767.48, 413,762.54 and 172,484.08 is: 238,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,767.48 : 413,762.54 = 172,484.08 : x
  2. Step 2: Convert to fraction form
    299,767.48/413,762.54 = 172,484.08/x
  3. Step 3: Cross multiply
    299,767.48x = 413,762.54 × 172,484.08
  4. Step 4: Simplify right side
    299,767.48x = 71,367,451,050.36
  5. Step 5: Solve for x
    x = 71,367,451,050.36/299,767.48
  6. Step 6: Final answer
    x = 238,076.03

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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.