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Finding the Fourth Proportional to 459,462.40, 687,811.20 and 404,166.40

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Solution

The fourth proportional to 459,462.40, 687,811.20 and 404,166.40 is: 605,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,462.40 : 687,811.20 = 404,166.40 : x
  2. Step 2: Convert to fraction form
    459,462.40/687,811.20 = 404,166.40/x
  3. Step 3: Cross multiply
    459,462.40x = 687,811.20 × 404,166.40
  4. Step 4: Simplify right side
    459,462.40x = 277,990,176,583.68
  5. Step 5: Solve for x
    x = 277,990,176,583.68/459,462.40
  6. Step 6: Final answer
    x = 605,033.57

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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.