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Finding the Fourth Proportional to 431,689.20, 647,533.80 and 169,033.20

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Solution

The fourth proportional to 431,689.20, 647,533.80 and 169,033.20 is: 253,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,689.20 : 647,533.80 = 169,033.20 : x
  2. Step 2: Convert to fraction form
    431,689.20/647,533.80 = 169,033.20/x
  3. Step 3: Cross multiply
    431,689.20x = 647,533.80 × 169,033.20
  4. Step 4: Simplify right side
    431,689.20x = 109,454,710,322.16
  5. Step 5: Solve for x
    x = 109,454,710,322.16/431,689.20
  6. Step 6: Final answer
    x = 253,549.80

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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.