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Finding the Fourth Proportional to 587,232.80, 878,516.40 and 509,213.60

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Solution

The fourth proportional to 587,232.80, 878,516.40 and 509,213.60 is: 761,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,232.80 : 878,516.40 = 509,213.60 : x
  2. Step 2: Convert to fraction form
    587,232.80/878,516.40 = 509,213.60/x
  3. Step 3: Cross multiply
    587,232.80x = 878,516.40 × 509,213.60
  4. Step 4: Simplify right side
    587,232.80x = 447,352,498,703.04
  5. Step 5: Solve for x
    x = 447,352,498,703.04/587,232.80
  6. Step 6: Final answer
    x = 761,797.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.