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Finding the Fourth Proportional to 556,849.84, 768,453.18 and 302,200.96

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Solution

The fourth proportional to 556,849.84, 768,453.18 and 302,200.96 is: 417,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,849.84 : 768,453.18 = 302,200.96 : x
  2. Step 2: Convert to fraction form
    556,849.84/768,453.18 = 302,200.96/x
  3. Step 3: Cross multiply
    556,849.84x = 768,453.18 × 302,200.96
  4. Step 4: Simplify right side
    556,849.84x = 232,227,288,711.05
  5. Step 5: Solve for x
    x = 232,227,288,711.05/556,849.84
  6. Step 6: Final answer
    x = 417,037.54

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Why These Related Problems?

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