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Finding the Fourth Proportional to 325,603.40, 488,405.10 and 219,315.20

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Solution

The fourth proportional to 325,603.40, 488,405.10 and 219,315.20 is: 328,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,603.40 : 488,405.10 = 219,315.20 : x
  2. Step 2: Convert to fraction form
    325,603.40/488,405.10 = 219,315.20/x
  3. Step 3: Cross multiply
    325,603.40x = 488,405.10 × 219,315.20
  4. Step 4: Simplify right side
    325,603.40x = 107,114,662,187.52
  5. Step 5: Solve for x
    x = 107,114,662,187.52/325,603.40
  6. Step 6: Final answer
    x = 328,972.80

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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.