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Finding the Fourth Proportional to 537,893.56, 742,392.66 and 311,539

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Solution

The fourth proportional to 537,893.56, 742,392.66 and 311,539 is: 429,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,893.56 : 742,392.66 = 311,539 : x
  2. Step 2: Convert to fraction form
    537,893.56/742,392.66 = 311,539/x
  3. Step 3: Cross multiply
    537,893.56x = 742,392.66 × 311,539
  4. Step 4: Simplify right side
    537,893.56x = 231,284,266,903.74
  5. Step 5: Solve for x
    x = 231,284,266,903.74/537,893.56
  6. Step 6: Final answer
    x = 429,981.48

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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.