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Finding the Fourth Proportional to 431,686.40, 647,529.60 and 363,257.60

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Solution

The fourth proportional to 431,686.40, 647,529.60 and 363,257.60 is: 544,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,686.40 : 647,529.60 = 363,257.60 : x
  2. Step 2: Convert to fraction form
    431,686.40/647,529.60 = 363,257.60/x
  3. Step 3: Cross multiply
    431,686.40x = 647,529.60 × 363,257.60
  4. Step 4: Simplify right side
    431,686.40x = 235,220,048,424.96
  5. Step 5: Solve for x
    x = 235,220,048,424.96/431,686.40
  6. Step 6: Final answer
    x = 544,886.40

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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.