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Finding the Fourth Proportional to 617,905.80, 925,044.30 and 460,830.60

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Solution

The fourth proportional to 617,905.80, 925,044.30 and 460,830.60 is: 689,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,905.80 : 925,044.30 = 460,830.60 : x
  2. Step 2: Convert to fraction form
    617,905.80/925,044.30 = 460,830.60/x
  3. Step 3: Cross multiply
    617,905.80x = 925,044.30 × 460,830.60
  4. Step 4: Simplify right side
    617,905.80x = 426,288,719,795.58
  5. Step 5: Solve for x
    x = 426,288,719,795.58/617,905.80
  6. Step 6: Final answer
    x = 689,892.73

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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.