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Finding the Fourth Proportional to 967,662.70, 1,335,420.10 and 537,950

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Solution

The fourth proportional to 967,662.70, 1,335,420.10 and 537,950 is: 742,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,662.70 : 1,335,420.10 = 537,950 : x
  2. Step 2: Convert to fraction form
    967,662.70/1,335,420.10 = 537,950/x
  3. Step 3: Cross multiply
    967,662.70x = 1,335,420.10 × 537,950
  4. Step 4: Simplify right side
    967,662.70x = 718,389,242,795
  5. Step 5: Solve for x
    x = 718,389,242,795/967,662.70
  6. Step 6: Final answer
    x = 742,396.34

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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.