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Finding the Fourth Proportional to 321,274.26, 443,353.16 and 176,078.93

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Solution

The fourth proportional to 321,274.26, 443,353.16 and 176,078.93 is: 242,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,274.26 : 443,353.16 = 176,078.93 : x
  2. Step 2: Convert to fraction form
    321,274.26/443,353.16 = 176,078.93/x
  3. Step 3: Cross multiply
    321,274.26x = 443,353.16 × 176,078.93
  4. Step 4: Simplify right side
    321,274.26x = 78,065,148,248.35
  5. Step 5: Solve for x
    x = 78,065,148,248.35/321,274.26
  6. Step 6: Final answer
    x = 242,986.00

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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.