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Finding the Fourth Proportional to 652,014.80, 978,022.20 and 440,507.60

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Solution

The fourth proportional to 652,014.80, 978,022.20 and 440,507.60 is: 660,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,014.80 : 978,022.20 = 440,507.60 : x
  2. Step 2: Convert to fraction form
    652,014.80/978,022.20 = 440,507.60/x
  3. Step 3: Cross multiply
    652,014.80x = 978,022.20 × 440,507.60
  4. Step 4: Simplify right side
    652,014.80x = 430,826,212,068.72
  5. Step 5: Solve for x
    x = 430,826,212,068.72/652,014.80
  6. Step 6: Final answer
    x = 660,761.40

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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.