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Finding the Fourth Proportional to 484,427.40, 727,073.10 and 284,497.80

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Solution

The fourth proportional to 484,427.40, 727,073.10 and 284,497.80 is: 427,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,427.40 : 727,073.10 = 284,497.80 : x
  2. Step 2: Convert to fraction form
    484,427.40/727,073.10 = 284,497.80/x
  3. Step 3: Cross multiply
    484,427.40x = 727,073.10 × 284,497.80
  4. Step 4: Simplify right side
    484,427.40x = 206,850,697,389.18
  5. Step 5: Solve for x
    x = 206,850,697,389.18/484,427.40
  6. Step 6: Final answer
    x = 427,000.41

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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.