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Finding the Fourth Proportional to 537,466.62, 742,009.86 and 356,422.97

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Solution

The fourth proportional to 537,466.62, 742,009.86 and 356,422.97 is: 492,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,466.62 : 742,009.86 = 356,422.97 : x
  2. Step 2: Convert to fraction form
    537,466.62/742,009.86 = 356,422.97/x
  3. Step 3: Cross multiply
    537,466.62x = 742,009.86 × 356,422.97
  4. Step 4: Simplify right side
    537,466.62x = 264,469,358,070.48
  5. Step 5: Solve for x
    x = 264,469,358,070.48/537,466.62
  6. Step 6: Final answer
    x = 492,066.57

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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.