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Finding the Fourth Proportional to 384,388.06, 530,488.34 and 214,655

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Solution

The fourth proportional to 384,388.06, 530,488.34 and 214,655 is: 296,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,388.06 : 530,488.34 = 214,655 : x
  2. Step 2: Convert to fraction form
    384,388.06/530,488.34 = 214,655/x
  3. Step 3: Cross multiply
    384,388.06x = 530,488.34 × 214,655
  4. Step 4: Simplify right side
    384,388.06x = 113,871,974,622.70
  5. Step 5: Solve for x
    x = 113,871,974,622.70/384,388.06
  6. Step 6: Final answer
    x = 296,242.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.