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Finding the Fourth Proportional to 306,798.80, 423,381.48 and 172,662.80

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Solution

The fourth proportional to 306,798.80, 423,381.48 and 172,662.80 is: 238,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,798.80 : 423,381.48 = 172,662.80 : x
  2. Step 2: Convert to fraction form
    306,798.80/423,381.48 = 172,662.80/x
  3. Step 3: Cross multiply
    306,798.80x = 423,381.48 × 172,662.80
  4. Step 4: Simplify right side
    306,798.80x = 73,102,231,804.94
  5. Step 5: Solve for x
    x = 73,102,231,804.94/306,798.80
  6. Step 6: Final answer
    x = 238,274.18

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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.