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Finding the Fourth Proportional to 230,970.74, 318,959.72 and 218,391.38

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Solution

The fourth proportional to 230,970.74, 318,959.72 and 218,391.38 is: 301,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,970.74 : 318,959.72 = 218,391.38 : x
  2. Step 2: Convert to fraction form
    230,970.74/318,959.72 = 218,391.38/x
  3. Step 3: Cross multiply
    230,970.74x = 318,959.72 × 218,391.38
  4. Step 4: Simplify right side
    230,970.74x = 69,658,053,415.21
  5. Step 5: Solve for x
    x = 69,658,053,415.21/230,970.74
  6. Step 6: Final answer
    x = 301,588.22

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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.