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Finding the Fourth Proportional to 600,005, 828,024.18 and 331,750.28

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Solution

The fourth proportional to 600,005, 828,024.18 and 331,750.28 is: 457,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,005 : 828,024.18 = 331,750.28 : x
  2. Step 2: Convert to fraction form
    600,005/828,024.18 = 331,750.28/x
  3. Step 3: Cross multiply
    600,005x = 828,024.18 × 331,750.28
  4. Step 4: Simplify right side
    600,005x = 274,697,253,561.77
  5. Step 5: Solve for x
    x = 274,697,253,561.77/600,005
  6. Step 6: Final answer
    x = 457,824.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.