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Finding the Fourth Proportional to 369,438.27, 509,814.62 and 208,291.92

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Solution

The fourth proportional to 369,438.27, 509,814.62 and 208,291.92 is: 287,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,438.27 : 509,814.62 = 208,291.92 : x
  2. Step 2: Convert to fraction form
    369,438.27/509,814.62 = 208,291.92/x
  3. Step 3: Cross multiply
    369,438.27x = 509,814.62 × 208,291.92
  4. Step 4: Simplify right side
    369,438.27x = 106,190,265,002.41
  5. Step 5: Solve for x
    x = 106,190,265,002.41/369,438.27
  6. Step 6: Final answer
    x = 287,437.10

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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.