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Finding the Fourth Proportional to 326,714.85, 490,054.59 and 102,049.47

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Solution

The fourth proportional to 326,714.85, 490,054.59 and 102,049.47 is: 153,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,714.85 : 490,054.59 = 102,049.47 : x
  2. Step 2: Convert to fraction form
    326,714.85/490,054.59 = 102,049.47/x
  3. Step 3: Cross multiply
    326,714.85x = 490,054.59 × 102,049.47
  4. Step 4: Simplify right side
    326,714.85x = 50,009,811,180.57
  5. Step 5: Solve for x
    x = 50,009,811,180.57/326,714.85
  6. Step 6: Final answer
    x = 153,068.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.