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Finding the Fourth Proportional to 560,846.34, 773,849.70 and 356,823

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Solution

The fourth proportional to 560,846.34, 773,849.70 and 356,823 is: 492,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,846.34 : 773,849.70 = 356,823 : x
  2. Step 2: Convert to fraction form
    560,846.34/773,849.70 = 356,823/x
  3. Step 3: Cross multiply
    560,846.34x = 773,849.70 × 356,823
  4. Step 4: Simplify right side
    560,846.34x = 276,127,371,503.10
  5. Step 5: Solve for x
    x = 276,127,371,503.10/560,846.34
  6. Step 6: Final answer
    x = 492,340.51

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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.