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Finding the Fourth Proportional to 348,178.34, 480,449.94 and 204,929.84

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Solution

The fourth proportional to 348,178.34, 480,449.94 and 204,929.84 is: 282,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,178.34 : 480,449.94 = 204,929.84 : x
  2. Step 2: Convert to fraction form
    348,178.34/480,449.94 = 204,929.84/x
  3. Step 3: Cross multiply
    348,178.34x = 480,449.94 × 204,929.84
  4. Step 4: Simplify right side
    348,178.34x = 98,458,529,332.21
  5. Step 5: Solve for x
    x = 98,458,529,332.21/348,178.34
  6. Step 6: Final answer
    x = 282,781.89

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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.