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Finding the Fourth Proportional to 415,208.61, 622,329.03 and 190,592.76

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Solution

The fourth proportional to 415,208.61, 622,329.03 and 190,592.76 is: 285,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,208.61 : 622,329.03 = 190,592.76 : x
  2. Step 2: Convert to fraction form
    415,208.61/622,329.03 = 190,592.76/x
  3. Step 3: Cross multiply
    415,208.61x = 622,329.03 × 190,592.76
  4. Step 4: Simplify right side
    415,208.61x = 118,611,407,455.82
  5. Step 5: Solve for x
    x = 118,611,407,455.82/415,208.61
  6. Step 6: Final answer
    x = 285,667.02

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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.