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Finding the Fourth Proportional to 586,390.64, 809,295.33 and 328,365.84

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Solution

The fourth proportional to 586,390.64, 809,295.33 and 328,365.84 is: 453,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,390.64 : 809,295.33 = 328,365.84 : x
  2. Step 2: Convert to fraction form
    586,390.64/809,295.33 = 328,365.84/x
  3. Step 3: Cross multiply
    586,390.64x = 809,295.33 × 328,365.84
  4. Step 4: Simplify right side
    586,390.64x = 265,744,939,201.70
  5. Step 5: Solve for x
    x = 265,744,939,201.70/586,390.64
  6. Step 6: Final answer
    x = 453,187.56

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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.