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Finding the Fourth Proportional to 325,492.83, 488,782.35 and 219,559.41

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Solution

The fourth proportional to 325,492.83, 488,782.35 and 219,559.41 is: 329,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,492.83 : 488,782.35 = 219,559.41 : x
  2. Step 2: Convert to fraction form
    325,492.83/488,782.35 = 219,559.41/x
  3. Step 3: Cross multiply
    325,492.83x = 488,782.35 × 219,559.41
  4. Step 4: Simplify right side
    325,492.83x = 107,316,764,384.41
  5. Step 5: Solve for x
    x = 107,316,764,384.41/325,492.83
  6. Step 6: Final answer
    x = 329,705.46

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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.