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Finding the Fourth Proportional to 320,702.59, 442,616.51 and 184,710.38

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Solution

The fourth proportional to 320,702.59, 442,616.51 and 184,710.38 is: 254,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,702.59 : 442,616.51 = 184,710.38 : x
  2. Step 2: Convert to fraction form
    320,702.59/442,616.51 = 184,710.38/x
  3. Step 3: Cross multiply
    320,702.59x = 442,616.51 × 184,710.38
  4. Step 4: Simplify right side
    320,702.59x = 81,755,862,832.82
  5. Step 5: Solve for x
    x = 81,755,862,832.82/320,702.59
  6. Step 6: Final answer
    x = 254,927.36

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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.