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Finding the Fourth Proportional to 477,568, 659,000.64 and 262,717.12

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Solution

The fourth proportional to 477,568, 659,000.64 and 262,717.12 is: 362,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,568 : 659,000.64 = 262,717.12 : x
  2. Step 2: Convert to fraction form
    477,568/659,000.64 = 262,717.12/x
  3. Step 3: Cross multiply
    477,568x = 659,000.64 × 262,717.12
  4. Step 4: Simplify right side
    477,568x = 173,130,750,218.96
  5. Step 5: Solve for x
    x = 173,130,750,218.96/477,568
  6. Step 6: Final answer
    x = 362,525.86

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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.