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Finding the Fourth Proportional to 586,830.80, 809,743.56 and 332,166.80

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Solution

The fourth proportional to 586,830.80, 809,743.56 and 332,166.80 is: 458,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,830.80 : 809,743.56 = 332,166.80 : x
  2. Step 2: Convert to fraction form
    586,830.80/809,743.56 = 332,166.80/x
  3. Step 3: Cross multiply
    586,830.80x = 809,743.56 × 332,166.80
  4. Step 4: Simplify right side
    586,830.80x = 268,969,927,145.81
  5. Step 5: Solve for x
    x = 268,969,927,145.81/586,830.80
  6. Step 6: Final answer
    x = 458,343.23

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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.