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Finding the Fourth Proportional to 320,802.51, 442,806.09 and 184,927.34

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Solution

The fourth proportional to 320,802.51, 442,806.09 and 184,927.34 is: 255,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,802.51 : 442,806.09 = 184,927.34 : x
  2. Step 2: Convert to fraction form
    320,802.51/442,806.09 = 184,927.34/x
  3. Step 3: Cross multiply
    320,802.51x = 442,806.09 × 184,927.34
  4. Step 4: Simplify right side
    320,802.51x = 81,886,950,145.47
  5. Step 5: Solve for x
    x = 81,886,950,145.47/320,802.51
  6. Step 6: Final answer
    x = 255,256.58

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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.