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Finding the Fourth Proportional to 301,827.71, 416,488.68 and 241,376.33

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Solution

The fourth proportional to 301,827.71, 416,488.68 and 241,376.33 is: 333,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,827.71 : 416,488.68 = 241,376.33 : x
  2. Step 2: Convert to fraction form
    301,827.71/416,488.68 = 241,376.33/x
  3. Step 3: Cross multiply
    301,827.71x = 416,488.68 × 241,376.33
  4. Step 4: Simplify right side
    301,827.71x = 100,530,506,982.50
  5. Step 5: Solve for x
    x = 100,530,506,982.50/301,827.71
  6. Step 6: Final answer
    x = 333,072.50

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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.