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Finding the Fourth Proportional to 380,950.45, 525,717.55 and 208,884.13

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Solution

The fourth proportional to 380,950.45, 525,717.55 and 208,884.13 is: 288,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,950.45 : 525,717.55 = 208,884.13 : x
  2. Step 2: Convert to fraction form
    380,950.45/525,717.55 = 208,884.13/x
  3. Step 3: Cross multiply
    380,950.45x = 525,717.55 × 208,884.13
  4. Step 4: Simplify right side
    380,950.45x = 109,814,053,037.33
  5. Step 5: Solve for x
    x = 109,814,053,037.33/380,950.45
  6. Step 6: Final answer
    x = 288,263.35

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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.