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Finding the Fourth Proportional to 462,904.40, 694,356.60 and 163,382.60

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Solution

The fourth proportional to 462,904.40, 694,356.60 and 163,382.60 is: 245,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,904.40 : 694,356.60 = 163,382.60 : x
  2. Step 2: Convert to fraction form
    462,904.40/694,356.60 = 163,382.60/x
  3. Step 3: Cross multiply
    462,904.40x = 694,356.60 × 163,382.60
  4. Step 4: Simplify right side
    462,904.40x = 113,445,786,635.16
  5. Step 5: Solve for x
    x = 113,445,786,635.16/462,904.40
  6. Step 6: Final answer
    x = 245,073.90

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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.