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Finding the Fourth Proportional to 469,011.87, 704,459.25 and 279,841.41

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Solution

The fourth proportional to 469,011.87, 704,459.25 and 279,841.41 is: 420,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,011.87 : 704,459.25 = 279,841.41 : x
  2. Step 2: Convert to fraction form
    469,011.87/704,459.25 = 279,841.41/x
  3. Step 3: Cross multiply
    469,011.87x = 704,459.25 × 279,841.41
  4. Step 4: Simplify right side
    469,011.87x = 197,136,869,807.54
  5. Step 5: Solve for x
    x = 197,136,869,807.54/469,011.87
  6. Step 6: Final answer
    x = 420,323.84

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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.