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Finding the Fourth Proportional to 647,564.20, 971,346.30 and 458,607.40

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Solution

The fourth proportional to 647,564.20, 971,346.30 and 458,607.40 is: 687,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,564.20 : 971,346.30 = 458,607.40 : x
  2. Step 2: Convert to fraction form
    647,564.20/971,346.30 = 458,607.40/x
  3. Step 3: Cross multiply
    647,564.20x = 971,346.30 × 458,607.40
  4. Step 4: Simplify right side
    647,564.20x = 445,466,601,142.62
  5. Step 5: Solve for x
    x = 445,466,601,142.62/647,564.20
  6. Step 6: Final answer
    x = 687,911.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.