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Finding the Fourth Proportional to 431,566.20, 647,106.30 and 165,335.40

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Solution

The fourth proportional to 431,566.20, 647,106.30 and 165,335.40 is: 247,910.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,566.20 : 647,106.30 = 165,335.40 : x
  2. Step 2: Convert to fraction form
    431,566.20/647,106.30 = 165,335.40/x
  3. Step 3: Cross multiply
    431,566.20x = 647,106.30 × 165,335.40
  4. Step 4: Simplify right side
    431,566.20x = 106,989,578,953.02
  5. Step 5: Solve for x
    x = 106,989,578,953.02/431,566.20
  6. Step 6: Final answer
    x = 247,910.01

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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.