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Finding the Fourth Proportional to 290,058.96, 435,036.54 and 184,564.56

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Solution

The fourth proportional to 290,058.96, 435,036.54 and 184,564.56 is: 276,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,058.96 : 435,036.54 = 184,564.56 : x
  2. Step 2: Convert to fraction form
    290,058.96/435,036.54 = 184,564.56/x
  3. Step 3: Cross multiply
    290,058.96x = 435,036.54 × 184,564.56
  4. Step 4: Simplify right side
    290,058.96x = 80,292,327,589.02
  5. Step 5: Solve for x
    x = 80,292,327,589.02/290,058.96
  6. Step 6: Final answer
    x = 276,813.82

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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.