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Finding the Fourth Proportional to 967,970.32, 1,335,744.17 and 538,241.22

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Solution

The fourth proportional to 967,970.32, 1,335,744.17 and 538,241.22 is: 742,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,970.32 : 1,335,744.17 = 538,241.22 : x
  2. Step 2: Convert to fraction form
    967,970.32/1,335,744.17 = 538,241.22/x
  3. Step 3: Cross multiply
    967,970.32x = 1,335,744.17 × 538,241.22
  4. Step 4: Simplify right side
    967,970.32x = 718,952,573,014.29
  5. Step 5: Solve for x
    x = 718,952,573,014.29/967,970.32
  6. Step 6: Final answer
    x = 742,742.38

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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.