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Finding the Fourth Proportional to 462,904.40, 694,410.60 and 147,393.20

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Solution

The fourth proportional to 462,904.40, 694,410.60 and 147,393.20 is: 221,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,904.40 : 694,410.60 = 147,393.20 : x
  2. Step 2: Convert to fraction form
    462,904.40/694,410.60 = 147,393.20/x
  3. Step 3: Cross multiply
    462,904.40x = 694,410.60 × 147,393.20
  4. Step 4: Simplify right side
    462,904.40x = 102,351,400,447.92
  5. Step 5: Solve for x
    x = 102,351,400,447.92/462,904.40
  6. Step 6: Final answer
    x = 221,106.99

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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.