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Finding the Fourth Proportional to 402,754.88, 604,093.32 and 122,274.56

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Solution

The fourth proportional to 402,754.88, 604,093.32 and 122,274.56 is: 183,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,754.88 : 604,093.32 = 122,274.56 : x
  2. Step 2: Convert to fraction form
    402,754.88/604,093.32 = 122,274.56/x
  3. Step 3: Cross multiply
    402,754.88x = 604,093.32 × 122,274.56
  4. Step 4: Simplify right side
    402,754.88x = 73,865,244,901.94
  5. Step 5: Solve for x
    x = 73,865,244,901.94/402,754.88
  6. Step 6: Final answer
    x = 183,400.00

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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.