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Finding the Fourth Proportional to 477,536.16, 659,016.72 and 262,692.48

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Solution

The fourth proportional to 477,536.16, 659,016.72 and 262,692.48 is: 362,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,536.16 : 659,016.72 = 262,692.48 : x
  2. Step 2: Convert to fraction form
    477,536.16/659,016.72 = 262,692.48/x
  3. Step 3: Cross multiply
    477,536.16x = 659,016.72 × 262,692.48
  4. Step 4: Simplify right side
    477,536.16x = 173,118,736,538.27
  5. Step 5: Solve for x
    x = 173,118,736,538.27/477,536.16
  6. Step 6: Final answer
    x = 362,524.87

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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.