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Finding the Fourth Proportional to 537,466.12, 742,009.17 and 356,422.47

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Solution

The fourth proportional to 537,466.12, 742,009.17 and 356,422.47 is: 492,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,466.12 : 742,009.17 = 356,422.47 : x
  2. Step 2: Convert to fraction form
    537,466.12/742,009.17 = 356,422.47/x
  3. Step 3: Cross multiply
    537,466.12x = 742,009.17 × 356,422.47
  4. Step 4: Simplify right side
    537,466.12x = 264,468,741,134.05
  5. Step 5: Solve for x
    x = 264,468,741,134.05/537,466.12
  6. Step 6: Final answer
    x = 492,065.88

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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.