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Finding the Fourth Proportional to 477,716.08, 659,231.40 and 262,854.40

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Solution

The fourth proportional to 477,716.08, 659,231.40 and 262,854.40 is: 362,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,716.08 : 659,231.40 = 262,854.40 : x
  2. Step 2: Convert to fraction form
    477,716.08/659,231.40 = 262,854.40/x
  3. Step 3: Cross multiply
    477,716.08x = 659,231.40 × 262,854.40
  4. Step 4: Simplify right side
    477,716.08x = 173,281,874,108.16
  5. Step 5: Solve for x
    x = 173,281,874,108.16/477,716.08
  6. Step 6: Final answer
    x = 362,729.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.