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Finding the Fourth Proportional to 477,644.32, 659,149.13 and 262,779.77

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Solution

The fourth proportional to 477,644.32, 659,149.13 and 262,779.77 is: 362,636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,644.32 : 659,149.13 = 262,779.77 : x
  2. Step 2: Convert to fraction form
    477,644.32/659,149.13 = 262,779.77/x
  3. Step 3: Cross multiply
    477,644.32x = 659,149.13 × 262,779.77
  4. Step 4: Simplify right side
    477,644.32x = 173,211,052,167.46
  5. Step 5: Solve for x
    x = 173,211,052,167.46/477,644.32
  6. Step 6: Final answer
    x = 362,636.06

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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.