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Finding the Fourth Proportional to 431,689.60, 647,534.40 and 326,713.60

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Solution

The fourth proportional to 431,689.60, 647,534.40 and 326,713.60 is: 490,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,689.60 : 647,534.40 = 326,713.60 : x
  2. Step 2: Convert to fraction form
    431,689.60/647,534.40 = 326,713.60/x
  3. Step 3: Cross multiply
    431,689.60x = 647,534.40 × 326,713.60
  4. Step 4: Simplify right side
    431,689.60x = 211,558,294,947.84
  5. Step 5: Solve for x
    x = 211,558,294,947.84/431,689.60
  6. Step 6: Final answer
    x = 490,070.40

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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.