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Finding the Fourth Proportional to 463,549.60, 694,287.60 and 401,341.60

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Solution

The fourth proportional to 463,549.60, 694,287.60 and 401,341.60 is: 601,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,549.60 : 694,287.60 = 401,341.60 : x
  2. Step 2: Convert to fraction form
    463,549.60/694,287.60 = 401,341.60/x
  3. Step 3: Cross multiply
    463,549.60x = 694,287.60 × 401,341.60
  4. Step 4: Simplify right side
    463,549.60x = 278,646,496,244.16
  5. Step 5: Solve for x
    x = 278,646,496,244.16/463,549.60
  6. Step 6: Final answer
    x = 601,114.74

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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.