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Finding the Fourth Proportional to 380,924.84, 525,672.74 and 208,852.37

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Solution

The fourth proportional to 380,924.84, 525,672.74 and 208,852.37 is: 288,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,924.84 : 525,672.74 = 208,852.37 : x
  2. Step 2: Convert to fraction form
    380,924.84/525,672.74 = 208,852.37/x
  3. Step 3: Cross multiply
    380,924.84x = 525,672.74 × 208,852.37
  4. Step 4: Simplify right side
    380,924.84x = 109,787,993,920.77
  5. Step 5: Solve for x
    x = 109,787,993,920.77/380,924.84
  6. Step 6: Final answer
    x = 288,214.32

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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.