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Finding the Fourth Proportional to 533,416.82, 800,750.34 and 421,172.69

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Solution

The fourth proportional to 533,416.82, 800,750.34 and 421,172.69 is: 632,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,416.82 : 800,750.34 = 421,172.69 : x
  2. Step 2: Convert to fraction form
    533,416.82/800,750.34 = 421,172.69/x
  3. Step 3: Cross multiply
    533,416.82x = 800,750.34 × 421,172.69
  4. Step 4: Simplify right side
    533,416.82x = 337,254,170,712.46
  5. Step 5: Solve for x
    x = 337,254,170,712.46/533,416.82
  6. Step 6: Final answer
    x = 632,252.60

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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.