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Finding the Fourth Proportional to 461,937.60, 692,906.40 and 302,505.30

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Solution

The fourth proportional to 461,937.60, 692,906.40 and 302,505.30 is: 453,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,937.60 : 692,906.40 = 302,505.30 : x
  2. Step 2: Convert to fraction form
    461,937.60/692,906.40 = 302,505.30/x
  3. Step 3: Cross multiply
    461,937.60x = 692,906.40 × 302,505.30
  4. Step 4: Simplify right side
    461,937.60x = 209,607,858,403.92
  5. Step 5: Solve for x
    x = 209,607,858,403.92/461,937.60
  6. Step 6: Final answer
    x = 453,757.95

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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.