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Finding the Fourth Proportional to 462,173.40, 693,260.10 and 162,651.60

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Solution

The fourth proportional to 462,173.40, 693,260.10 and 162,651.60 is: 243,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,173.40 : 693,260.10 = 162,651.60 : x
  2. Step 2: Convert to fraction form
    462,173.40/693,260.10 = 162,651.60/x
  3. Step 3: Cross multiply
    462,173.40x = 693,260.10 × 162,651.60
  4. Step 4: Simplify right side
    462,173.40x = 112,759,864,481.16
  5. Step 5: Solve for x
    x = 112,759,864,481.16/462,173.40
  6. Step 6: Final answer
    x = 243,977.40

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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.