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Finding the Fourth Proportional to 516,501, 774,780.78 and 184,077

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Solution

The fourth proportional to 516,501, 774,780.78 and 184,077 is: 276,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,501 : 774,780.78 = 184,077 : x
  2. Step 2: Convert to fraction form
    516,501/774,780.78 = 184,077/x
  3. Step 3: Cross multiply
    516,501x = 774,780.78 × 184,077
  4. Step 4: Simplify right side
    516,501x = 142,619,321,640.06
  5. Step 5: Solve for x
    x = 142,619,321,640.06/516,501
  6. Step 6: Final answer
    x = 276,125.94

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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.