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Finding the Fourth Proportional to 567,022.56, 782,491.08 and 312,373.74

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Solution

The fourth proportional to 567,022.56, 782,491.08 and 312,373.74 is: 431,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,022.56 : 782,491.08 = 312,373.74 : x
  2. Step 2: Convert to fraction form
    567,022.56/782,491.08 = 312,373.74/x
  3. Step 3: Cross multiply
    567,022.56x = 782,491.08 × 312,373.74
  4. Step 4: Simplify right side
    567,022.56x = 244,429,665,176.24
  5. Step 5: Solve for x
    x = 244,429,665,176.24/567,022.56
  6. Step 6: Final answer
    x = 431,075.73

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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.