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Finding the Fourth Proportional to 642,698.60, 964,047.90 and 310,922.60

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Solution

The fourth proportional to 642,698.60, 964,047.90 and 310,922.60 is: 466,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,698.60 : 964,047.90 = 310,922.60 : x
  2. Step 2: Convert to fraction form
    642,698.60/964,047.90 = 310,922.60/x
  3. Step 3: Cross multiply
    642,698.60x = 964,047.90 × 310,922.60
  4. Step 4: Simplify right side
    642,698.60x = 299,744,279,592.54
  5. Step 5: Solve for x
    x = 299,744,279,592.54/642,698.60
  6. Step 6: Final answer
    x = 466,383.90

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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.