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Finding the Fourth Proportional to 596,586.78, 823,289.85 and 328,314.78

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Solution

The fourth proportional to 596,586.78, 823,289.85 and 328,314.78 is: 453,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,586.78 : 823,289.85 = 328,314.78 : x
  2. Step 2: Convert to fraction form
    596,586.78/823,289.85 = 328,314.78/x
  3. Step 3: Cross multiply
    596,586.78x = 823,289.85 × 328,314.78
  4. Step 4: Simplify right side
    596,586.78x = 270,298,225,978.98
  5. Step 5: Solve for x
    x = 270,298,225,978.98/596,586.78
  6. Step 6: Final answer
    x = 453,074.45

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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.