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Finding the Fourth Proportional to 378,048.96, 521,708.88 and 208,282.68

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Solution

The fourth proportional to 378,048.96, 521,708.88 and 208,282.68 is: 287,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,048.96 : 521,708.88 = 208,282.68 : x
  2. Step 2: Convert to fraction form
    378,048.96/521,708.88 = 208,282.68/x
  3. Step 3: Cross multiply
    378,048.96x = 521,708.88 × 208,282.68
  4. Step 4: Simplify right side
    378,048.96x = 108,662,923,706.20
  5. Step 5: Solve for x
    x = 108,662,923,706.20/378,048.96
  6. Step 6: Final answer
    x = 287,430.82

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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.