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Finding the Fourth Proportional to 537,994.38, 742,398.03 and 323,143.50

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Solution

The fourth proportional to 537,994.38, 742,398.03 and 323,143.50 is: 445,917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,994.38 : 742,398.03 = 323,143.50 : x
  2. Step 2: Convert to fraction form
    537,994.38/742,398.03 = 323,143.50/x
  3. Step 3: Cross multiply
    537,994.38x = 742,398.03 × 323,143.50
  4. Step 4: Simplify right side
    537,994.38x = 239,901,097,807.31
  5. Step 5: Solve for x
    x = 239,901,097,807.31/537,994.38
  6. Step 6: Final answer
    x = 445,917.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.