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Finding the Fourth Proportional to 462,819, 693,244.08 and 273,074.88

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Solution

The fourth proportional to 462,819, 693,244.08 and 273,074.88 is: 409,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,819 : 693,244.08 = 273,074.88 : x
  2. Step 2: Convert to fraction form
    462,819/693,244.08 = 273,074.88/x
  3. Step 3: Cross multiply
    462,819x = 693,244.08 × 273,074.88
  4. Step 4: Simplify right side
    462,819x = 189,307,543,956.71
  5. Step 5: Solve for x
    x = 189,307,543,956.71/462,819
  6. Step 6: Final answer
    x = 409,031.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.