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Finding the Fourth Proportional to 586,475.76, 809,326.44 and 356,949.84

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Solution

The fourth proportional to 586,475.76, 809,326.44 and 356,949.84 is: 492,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,475.76 : 809,326.44 = 356,949.84 : x
  2. Step 2: Convert to fraction form
    586,475.76/809,326.44 = 356,949.84/x
  3. Step 3: Cross multiply
    586,475.76x = 809,326.44 × 356,949.84
  4. Step 4: Simplify right side
    586,475.76x = 288,888,943,265.77
  5. Step 5: Solve for x
    x = 288,888,943,265.77/586,475.76
  6. Step 6: Final answer
    x = 492,584.63

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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.