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Finding the Fourth Proportional to 431,434.80, 647,152.20 and 282,135.60

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Solution

The fourth proportional to 431,434.80, 647,152.20 and 282,135.60 is: 423,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,434.80 : 647,152.20 = 282,135.60 : x
  2. Step 2: Convert to fraction form
    431,434.80/647,152.20 = 282,135.60/x
  3. Step 3: Cross multiply
    431,434.80x = 647,152.20 × 282,135.60
  4. Step 4: Simplify right side
    431,434.80x = 182,584,674,238.32
  5. Step 5: Solve for x
    x = 182,584,674,238.32/431,434.80
  6. Step 6: Final answer
    x = 423,203.40

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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.