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Finding the Fourth Proportional to 537,814.40, 806,721.60 and 348,857.60

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Solution

The fourth proportional to 537,814.40, 806,721.60 and 348,857.60 is: 523,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,814.40 : 806,721.60 = 348,857.60 : x
  2. Step 2: Convert to fraction form
    537,814.40/806,721.60 = 348,857.60/x
  3. Step 3: Cross multiply
    537,814.40x = 806,721.60 × 348,857.60
  4. Step 4: Simplify right side
    537,814.40x = 281,430,961,244.16
  5. Step 5: Solve for x
    x = 281,430,961,244.16/537,814.40
  6. Step 6: Final answer
    x = 523,286.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.