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Finding the Fourth Proportional to 586,764.72, 809,754.57 and 332,110.44

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Solution

The fourth proportional to 586,764.72, 809,754.57 and 332,110.44 is: 458,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,764.72 : 809,754.57 = 332,110.44 : x
  2. Step 2: Convert to fraction form
    586,764.72/809,754.57 = 332,110.44/x
  3. Step 3: Cross multiply
    586,764.72x = 809,754.57 × 332,110.44
  4. Step 4: Simplify right side
    586,764.72x = 268,927,946,534.71
  5. Step 5: Solve for x
    x = 268,927,946,534.71/586,764.72
  6. Step 6: Final answer
    x = 458,323.31

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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.