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Finding the Fourth Proportional to 417,646.80, 625,087.80 and 323,643.60

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Solution

The fourth proportional to 417,646.80, 625,087.80 and 323,643.60 is: 484,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,646.80 : 625,087.80 = 323,643.60 : x
  2. Step 2: Convert to fraction form
    417,646.80/625,087.80 = 323,643.60/x
  3. Step 3: Cross multiply
    417,646.80x = 625,087.80 × 323,643.60
  4. Step 4: Simplify right side
    417,646.80x = 202,305,665,908.08
  5. Step 5: Solve for x
    x = 202,305,665,908.08/417,646.80
  6. Step 6: Final answer
    x = 484,394.15

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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.