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Finding the Fourth Proportional to 462,096.90, 693,145.35 and 407,859.30

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Solution

The fourth proportional to 462,096.90, 693,145.35 and 407,859.30 is: 611,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,096.90 : 693,145.35 = 407,859.30 : x
  2. Step 2: Convert to fraction form
    462,096.90/693,145.35 = 407,859.30/x
  3. Step 3: Cross multiply
    462,096.90x = 693,145.35 × 407,859.30
  4. Step 4: Simplify right side
    462,096.90x = 282,705,777,249.26
  5. Step 5: Solve for x
    x = 282,705,777,249.26/462,096.90
  6. Step 6: Final answer
    x = 611,788.95

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Similar ratio
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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.