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Finding the Fourth Proportional to 449,643.24, 674,945.01 and 193,602.51

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Solution

The fourth proportional to 449,643.24, 674,945.01 and 193,602.51 is: 290,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,643.24 : 674,945.01 = 193,602.51 : x
  2. Step 2: Convert to fraction form
    449,643.24/674,945.01 = 193,602.51/x
  3. Step 3: Cross multiply
    449,643.24x = 674,945.01 × 193,602.51
  4. Step 4: Simplify right side
    449,643.24x = 130,671,048,047.98
  5. Step 5: Solve for x
    x = 130,671,048,047.98/449,643.24
  6. Step 6: Final answer
    x = 290,610.50

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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.