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Finding the Fourth Proportional to 431,725.80, 647,588.70 and 417,210.60

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Solution

The fourth proportional to 431,725.80, 647,588.70 and 417,210.60 is: 625,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,725.80 : 647,588.70 = 417,210.60 : x
  2. Step 2: Convert to fraction form
    431,725.80/647,588.70 = 417,210.60/x
  3. Step 3: Cross multiply
    431,725.80x = 647,588.70 × 417,210.60
  4. Step 4: Simplify right side
    431,725.80x = 270,180,870,080.22
  5. Step 5: Solve for x
    x = 270,180,870,080.22/431,725.80
  6. Step 6: Final answer
    x = 625,815.90

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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.