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Finding the Fourth Proportional to 333,165.12, 459,636.76 and 205,619.28

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Solution

The fourth proportional to 333,165.12, 459,636.76 and 205,619.28 is: 283,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,165.12 : 459,636.76 = 205,619.28 : x
  2. Step 2: Convert to fraction form
    333,165.12/459,636.76 = 205,619.28/x
  3. Step 3: Cross multiply
    333,165.12x = 459,636.76 × 205,619.28
  4. Step 4: Simplify right side
    333,165.12x = 94,510,179,652.73
  5. Step 5: Solve for x
    x = 94,510,179,652.73/333,165.12
  6. Step 6: Final answer
    x = 283,673.69

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Why These Related Problems?

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