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Finding the Fourth Proportional to 431,490.40, 647,235.60 and 242,533.60

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Solution

The fourth proportional to 431,490.40, 647,235.60 and 242,533.60 is: 363,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,490.40 : 647,235.60 = 242,533.60 : x
  2. Step 2: Convert to fraction form
    431,490.40/647,235.60 = 242,533.60/x
  3. Step 3: Cross multiply
    431,490.40x = 647,235.60 × 242,533.60
  4. Step 4: Simplify right side
    431,490.40x = 156,976,380,116.16
  5. Step 5: Solve for x
    x = 156,976,380,116.16/431,490.40
  6. Step 6: Final answer
    x = 363,800.40

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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.