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Finding the Fourth Proportional to 326,116.60, 488,518.80 and 219,828.40

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Solution

The fourth proportional to 326,116.60, 488,518.80 and 219,828.40 is: 329,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,116.60 : 488,518.80 = 219,828.40 : x
  2. Step 2: Convert to fraction form
    326,116.60/488,518.80 = 219,828.40/x
  3. Step 3: Cross multiply
    326,116.60x = 488,518.80 × 219,828.40
  4. Step 4: Simplify right side
    326,116.60x = 107,390,306,173.92
  5. Step 5: Solve for x
    x = 107,390,306,173.92/326,116.60
  6. Step 6: Final answer
    x = 329,300.34

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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.