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Finding the Fourth Proportional to 659,383.20, 989,074.80 and 434,851.20

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Solution

The fourth proportional to 659,383.20, 989,074.80 and 434,851.20 is: 652,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,383.20 : 989,074.80 = 434,851.20 : x
  2. Step 2: Convert to fraction form
    659,383.20/989,074.80 = 434,851.20/x
  3. Step 3: Cross multiply
    659,383.20x = 989,074.80 × 434,851.20
  4. Step 4: Simplify right side
    659,383.20x = 430,100,363,669.76
  5. Step 5: Solve for x
    x = 430,100,363,669.76/659,383.20
  6. Step 6: Final answer
    x = 652,276.80

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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.