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Finding the Fourth Proportional to 467,003.20, 701,023.20 and 289,710.40

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Solution

The fourth proportional to 467,003.20, 701,023.20 and 289,710.40 is: 434,887.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,003.20 : 701,023.20 = 289,710.40 : x
  2. Step 2: Convert to fraction form
    467,003.20/701,023.20 = 289,710.40/x
  3. Step 3: Cross multiply
    467,003.20x = 701,023.20 × 289,710.40
  4. Step 4: Simplify right side
    467,003.20x = 203,093,711,681.28
  5. Step 5: Solve for x
    x = 203,093,711,681.28/467,003.20
  6. Step 6: Final answer
    x = 434,887.19

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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.