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Finding the Fourth Proportional to 613,242.63, 920,017.04 and 213,889.14

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Solution

The fourth proportional to 613,242.63, 920,017.04 and 213,889.14 is: 320,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,242.63 : 920,017.04 = 213,889.14 : x
  2. Step 2: Convert to fraction form
    613,242.63/920,017.04 = 213,889.14/x
  3. Step 3: Cross multiply
    613,242.63x = 920,017.04 × 213,889.14
  4. Step 4: Simplify right side
    613,242.63x = 196,781,652,401.50
  5. Step 5: Solve for x
    x = 196,781,652,401.50/613,242.63
  6. Step 6: Final answer
    x = 320,887.11

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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.