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Finding the Fourth Proportional to 320,346.32, 442,063.85 and 184,384.62

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Solution

The fourth proportional to 320,346.32, 442,063.85 and 184,384.62 is: 254,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,346.32 : 442,063.85 = 184,384.62 : x
  2. Step 2: Convert to fraction form
    320,346.32/442,063.85 = 184,384.62/x
  3. Step 3: Cross multiply
    320,346.32x = 442,063.85 × 184,384.62
  4. Step 4: Simplify right side
    320,346.32x = 81,509,774,076.06
  5. Step 5: Solve for x
    x = 81,509,774,076.06/320,346.32
  6. Step 6: Final answer
    x = 254,442.68

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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.