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Finding the Fourth Proportional to 320,692.83, 442,602.82 and 184,700.31

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Solution

The fourth proportional to 320,692.83, 442,602.82 and 184,700.31 is: 254,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,692.83 : 442,602.82 = 184,700.31 : x
  2. Step 2: Convert to fraction form
    320,692.83/442,602.82 = 184,700.31/x
  3. Step 3: Cross multiply
    320,692.83x = 442,602.82 × 184,700.31
  4. Step 4: Simplify right side
    320,692.83x = 81,748,878,060.87
  5. Step 5: Solve for x
    x = 81,748,878,060.87/320,692.83
  6. Step 6: Final answer
    x = 254,913.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.