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Finding the Fourth Proportional to 319,698.38, 441,187.43 and 176,458.55

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Solution

The fourth proportional to 319,698.38, 441,187.43 and 176,458.55 is: 243,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,698.38 : 441,187.43 = 176,458.55 : x
  2. Step 2: Convert to fraction form
    319,698.38/441,187.43 = 176,458.55/x
  3. Step 3: Cross multiply
    319,698.38x = 441,187.43 × 176,458.55
  4. Step 4: Simplify right side
    319,698.38x = 77,851,292,411.24
  5. Step 5: Solve for x
    x = 77,851,292,411.24/319,698.38
  6. Step 6: Final answer
    x = 243,514.81

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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.