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Finding the Fourth Proportional to 546,714.40, 819,682.80 and 209,624.80

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Solution

The fourth proportional to 546,714.40, 819,682.80 and 209,624.80 is: 314,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,714.40 : 819,682.80 = 209,624.80 : x
  2. Step 2: Convert to fraction form
    546,714.40/819,682.80 = 209,624.80/x
  3. Step 3: Cross multiply
    546,714.40x = 819,682.80 × 209,624.80
  4. Step 4: Simplify right side
    546,714.40x = 171,825,843,013.44
  5. Step 5: Solve for x
    x = 171,825,843,013.44/546,714.40
  6. Step 6: Final answer
    x = 314,288.12

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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.