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Finding the Fourth Proportional to 560,732.56, 773,821.80 and 306,106

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Solution

The fourth proportional to 560,732.56, 773,821.80 and 306,106 is: 422,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,732.56 : 773,821.80 = 306,106 : x
  2. Step 2: Convert to fraction form
    560,732.56/773,821.80 = 306,106/x
  3. Step 3: Cross multiply
    560,732.56x = 773,821.80 × 306,106
  4. Step 4: Simplify right side
    560,732.56x = 236,871,495,910.80
  5. Step 5: Solve for x
    x = 236,871,495,910.80/560,732.56
  6. Step 6: Final answer
    x = 422,432.21

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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.