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Finding the Fourth Proportional to 456,313.05, 684,586.22 and 175,754.97

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Solution

The fourth proportional to 456,313.05, 684,586.22 and 175,754.97 is: 263,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,313.05 : 684,586.22 = 175,754.97 : x
  2. Step 2: Convert to fraction form
    456,313.05/684,586.22 = 175,754.97/x
  3. Step 3: Cross multiply
    456,313.05x = 684,586.22 × 175,754.97
  4. Step 4: Simplify right side
    456,313.05x = 120,319,429,679.74
  5. Step 5: Solve for x
    x = 120,319,429,679.74/456,313.05
  6. Step 6: Final answer
    x = 263,677.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.