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Finding the Fourth Proportional to 320,804.96, 442,721.28 and 184,828.22

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Solution

The fourth proportional to 320,804.96, 442,721.28 and 184,828.22 is: 255,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,804.96 : 442,721.28 = 184,828.22 : x
  2. Step 2: Convert to fraction form
    320,804.96/442,721.28 = 184,828.22/x
  3. Step 3: Cross multiply
    320,804.96x = 442,721.28 × 184,828.22
  4. Step 4: Simplify right side
    320,804.96x = 81,827,386,138.52
  5. Step 5: Solve for x
    x = 81,827,386,138.52/320,804.96
  6. Step 6: Final answer
    x = 255,068.96

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