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Finding the Fourth Proportional to 407,762.20, 611,643.30 and 401,857.30

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Solution

The fourth proportional to 407,762.20, 611,643.30 and 401,857.30 is: 602,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,762.20 : 611,643.30 = 401,857.30 : x
  2. Step 2: Convert to fraction form
    407,762.20/611,643.30 = 401,857.30/x
  3. Step 3: Cross multiply
    407,762.20x = 611,643.30 × 401,857.30
  4. Step 4: Simplify right side
    407,762.20x = 245,793,325,101.09
  5. Step 5: Solve for x
    x = 245,793,325,101.09/407,762.20
  6. Step 6: Final answer
    x = 602,785.95

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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.