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Finding the Fourth Proportional to 617,302.54, 925,887.12 and 196,545.34

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Solution

The fourth proportional to 617,302.54, 925,887.12 and 196,545.34 is: 294,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,302.54 : 925,887.12 = 196,545.34 : x
  2. Step 2: Convert to fraction form
    617,302.54/925,887.12 = 196,545.34/x
  3. Step 3: Cross multiply
    617,302.54x = 925,887.12 × 196,545.34
  4. Step 4: Simplify right side
    617,302.54x = 181,978,798,802.02
  5. Step 5: Solve for x
    x = 181,978,798,802.02/617,302.54
  6. Step 6: Final answer
    x = 294,796.78

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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.