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Finding the Fourth Proportional to 292,895.80, 438,825.30 and 274,233.40

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Solution

The fourth proportional to 292,895.80, 438,825.30 and 274,233.40 is: 410,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,895.80 : 438,825.30 = 274,233.40 : x
  2. Step 2: Convert to fraction form
    292,895.80/438,825.30 = 274,233.40/x
  3. Step 3: Cross multiply
    292,895.80x = 438,825.30 × 274,233.40
  4. Step 4: Simplify right side
    292,895.80x = 120,340,554,025.02
  5. Step 5: Solve for x
    x = 120,340,554,025.02/292,895.80
  6. Step 6: Final answer
    x = 410,864.73

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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.