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Finding the Fourth Proportional to 357,139.62, 492,820.10 and 211,920.38

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Solution

The fourth proportional to 357,139.62, 492,820.10 and 211,920.38 is: 292,430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,139.62 : 492,820.10 = 211,920.38 : x
  2. Step 2: Convert to fraction form
    357,139.62/492,820.10 = 211,920.38/x
  3. Step 3: Cross multiply
    357,139.62x = 492,820.10 × 211,920.38
  4. Step 4: Simplify right side
    357,139.62x = 104,438,620,399.54
  5. Step 5: Solve for x
    x = 104,438,620,399.54/357,139.62
  6. Step 6: Final answer
    x = 292,430.79

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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.