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Finding the Fourth Proportional to 459,010.40, 687,203.40 and 411,771.20

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Solution

The fourth proportional to 459,010.40, 687,203.40 and 411,771.20 is: 616,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,010.40 : 687,203.40 = 411,771.20 : x
  2. Step 2: Convert to fraction form
    459,010.40/687,203.40 = 411,771.20/x
  3. Step 3: Cross multiply
    459,010.40x = 687,203.40 × 411,771.20
  4. Step 4: Simplify right side
    459,010.40x = 282,970,568,662.08
  5. Step 5: Solve for x
    x = 282,970,568,662.08/459,010.40
  6. Step 6: Final answer
    x = 616,479.65

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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.