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Finding the Fourth Proportional to 537,901.56, 742,309.11 and 296,189.64

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Solution

The fourth proportional to 537,901.56, 742,309.11 and 296,189.64 is: 408,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,901.56 : 742,309.11 = 296,189.64 : x
  2. Step 2: Convert to fraction form
    537,901.56/742,309.11 = 296,189.64/x
  3. Step 3: Cross multiply
    537,901.56x = 742,309.11 × 296,189.64
  4. Step 4: Simplify right side
    537,901.56x = 219,864,268,059.62
  5. Step 5: Solve for x
    x = 219,864,268,059.62/537,901.56
  6. Step 6: Final answer
    x = 408,744.43

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1.5x scale

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.