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Finding the Fourth Proportional to 462,983.60, 694,513.80 and 147,431.60

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Solution

The fourth proportional to 462,983.60, 694,513.80 and 147,431.60 is: 221,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,983.60 : 694,513.80 = 147,431.60 : x
  2. Step 2: Convert to fraction form
    462,983.60/694,513.80 = 147,431.60/x
  3. Step 3: Cross multiply
    462,983.60x = 694,513.80 × 147,431.60
  4. Step 4: Simplify right side
    462,983.60x = 102,393,280,756.08
  5. Step 5: Solve for x
    x = 102,393,280,756.08/462,983.60
  6. Step 6: Final answer
    x = 221,159.63

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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.