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Finding the Fourth Proportional to 538,392.49, 742,981.70 and 312,169.21

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Solution

The fourth proportional to 538,392.49, 742,981.70 and 312,169.21 is: 430,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,392.49 : 742,981.70 = 312,169.21 : x
  2. Step 2: Convert to fraction form
    538,392.49/742,981.70 = 312,169.21/x
  3. Step 3: Cross multiply
    538,392.49x = 742,981.70 × 312,169.21
  4. Step 4: Simplify right side
    538,392.49x = 231,936,010,333.46
  5. Step 5: Solve for x
    x = 231,936,010,333.46/538,392.49
  6. Step 6: Final answer
    x = 430,793.55

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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.