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Finding the Fourth Proportional to 601,366.56, 829,690.60 and 410,047.80

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Solution

The fourth proportional to 601,366.56, 829,690.60 and 410,047.80 is: 565,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,366.56 : 829,690.60 = 410,047.80 : x
  2. Step 2: Convert to fraction form
    601,366.56/829,690.60 = 410,047.80/x
  3. Step 3: Cross multiply
    601,366.56x = 829,690.60 × 410,047.80
  4. Step 4: Simplify right side
    601,366.56x = 340,212,805,210.68
  5. Step 5: Solve for x
    x = 340,212,805,210.68/601,366.56
  6. Step 6: Final answer
    x = 565,732.83

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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.