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Finding the Fourth Proportional to 537,729, 742,066.02 and 299,321.32

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Solution

The fourth proportional to 537,729, 742,066.02 and 299,321.32 is: 413,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,729 : 742,066.02 = 299,321.32 : x
  2. Step 2: Convert to fraction form
    537,729/742,066.02 = 299,321.32/x
  3. Step 3: Cross multiply
    537,729x = 742,066.02 × 299,321.32
  4. Step 4: Simplify right side
    537,729x = 222,116,180,633.55
  5. Step 5: Solve for x
    x = 222,116,180,633.55/537,729
  6. Step 6: Final answer
    x = 413,063.42

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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.