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Finding the Fourth Proportional to 357,219.91, 492,945.46 and 212,032.03

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Solution

The fourth proportional to 357,219.91, 492,945.46 and 212,032.03 is: 292,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,219.91 : 492,945.46 = 212,032.03 : x
  2. Step 2: Convert to fraction form
    357,219.91/492,945.46 = 212,032.03/x
  3. Step 3: Cross multiply
    357,219.91x = 492,945.46 × 212,032.03
  4. Step 4: Simplify right side
    357,219.91x = 104,520,225,133.62
  5. Step 5: Solve for x
    x = 104,520,225,133.62/357,219.91
  6. Step 6: Final answer
    x = 292,593.51

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Why These Related Problems?

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