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Finding the Fourth Proportional to 586,708.63, 809,519.14 and 332,059.82

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Solution

The fourth proportional to 586,708.63, 809,519.14 and 332,059.82 is: 458,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,708.63 : 809,519.14 = 332,059.82 : x
  2. Step 2: Convert to fraction form
    586,708.63/809,519.14 = 332,059.82/x
  3. Step 3: Cross multiply
    586,708.63x = 809,519.14 × 332,059.82
  4. Step 4: Simplify right side
    586,708.63x = 268,808,775,037.21
  5. Step 5: Solve for x
    x = 268,808,775,037.21/586,708.63
  6. Step 6: Final answer
    x = 458,164.01

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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.