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Finding the Fourth Proportional to 320,374.63, 442,106.16 and 184,389.70

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Solution

The fourth proportional to 320,374.63, 442,106.16 and 184,389.70 is: 254,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,374.63 : 442,106.16 = 184,389.70 : x
  2. Step 2: Convert to fraction form
    320,374.63/442,106.16 = 184,389.70/x
  3. Step 3: Cross multiply
    320,374.63x = 442,106.16 × 184,389.70
  4. Step 4: Simplify right side
    320,374.63x = 81,519,822,210.55
  5. Step 5: Solve for x
    x = 81,519,822,210.55/320,374.63
  6. Step 6: Final answer
    x = 254,451.55

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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.