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Finding the Fourth Proportional to 354,893.10, 532,339.65 and 322,233.90

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Solution

The fourth proportional to 354,893.10, 532,339.65 and 322,233.90 is: 483,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,893.10 : 532,339.65 = 322,233.90 : x
  2. Step 2: Convert to fraction form
    354,893.10/532,339.65 = 322,233.90/x
  3. Step 3: Cross multiply
    354,893.10x = 532,339.65 × 322,233.90
  4. Step 4: Simplify right side
    354,893.10x = 171,537,881,544.14
  5. Step 5: Solve for x
    x = 171,537,881,544.14/354,893.10
  6. Step 6: Final answer
    x = 483,350.85

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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.