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Finding the Fourth Proportional to 516,500, 774,779.28 and 184,076

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Solution

The fourth proportional to 516,500, 774,779.28 and 184,076 is: 276,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,500 : 774,779.28 = 184,076 : x
  2. Step 2: Convert to fraction form
    516,500/774,779.28 = 184,076/x
  3. Step 3: Cross multiply
    516,500x = 774,779.28 × 184,076
  4. Step 4: Simplify right side
    516,500x = 142,618,270,745.28
  5. Step 5: Solve for x
    x = 142,618,270,745.28/516,500
  6. Step 6: Final answer
    x = 276,124.44

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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.