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Finding the Fourth Proportional to 354,468.08, 530,453.10 and 221,411

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Solution

The fourth proportional to 354,468.08, 530,453.10 and 221,411 is: 331,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,468.08 : 530,453.10 = 221,411 : x
  2. Step 2: Convert to fraction form
    354,468.08/530,453.10 = 221,411/x
  3. Step 3: Cross multiply
    354,468.08x = 530,453.10 × 221,411
  4. Step 4: Simplify right side
    354,468.08x = 117,448,151,324.10
  5. Step 5: Solve for x
    x = 117,448,151,324.10/354,468.08
  6. Step 6: Final answer
    x = 331,336.33

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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.