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Finding the Fourth Proportional to 273,848.60, 410,405.72 and 213,132.20

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Solution

The fourth proportional to 273,848.60, 410,405.72 and 213,132.20 is: 319,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,848.60 : 410,405.72 = 213,132.20 : x
  2. Step 2: Convert to fraction form
    273,848.60/410,405.72 = 213,132.20/x
  3. Step 3: Cross multiply
    273,848.60x = 410,405.72 × 213,132.20
  4. Step 4: Simplify right side
    273,848.60x = 87,470,670,878.49
  5. Step 5: Solve for x
    x = 87,470,670,878.49/273,848.60
  6. Step 6: Final answer
    x = 319,412.52

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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.