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Finding the Fourth Proportional to 354,472.08, 530,459.10 and 221,415

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Solution

The fourth proportional to 354,472.08, 530,459.10 and 221,415 is: 331,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,472.08 : 530,459.10 = 221,415 : x
  2. Step 2: Convert to fraction form
    354,472.08/530,459.10 = 221,415/x
  3. Step 3: Cross multiply
    354,472.08x = 530,459.10 × 221,415
  4. Step 4: Simplify right side
    354,472.08x = 117,451,601,626.50
  5. Step 5: Solve for x
    x = 117,451,601,626.50/354,472.08
  6. Step 6: Final answer
    x = 331,342.32

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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.