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Finding the Fourth Proportional to 523,273.50, 785,027.25 and 190,849.50

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Solution

The fourth proportional to 523,273.50, 785,027.25 and 190,849.50 is: 286,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,273.50 : 785,027.25 = 190,849.50 : x
  2. Step 2: Convert to fraction form
    523,273.50/785,027.25 = 190,849.50/x
  3. Step 3: Cross multiply
    523,273.50x = 785,027.25 × 190,849.50
  4. Step 4: Simplify right side
    523,273.50x = 149,822,058,148.88
  5. Step 5: Solve for x
    x = 149,822,058,148.88/523,273.50
  6. Step 6: Final answer
    x = 286,316.92

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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.