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Finding the Fourth Proportional to 437,438.28, 599,727.84 and 429,466.68

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Solution

The fourth proportional to 437,438.28, 599,727.84 and 429,466.68 is: 588,798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,438.28 : 599,727.84 = 429,466.68 : x
  2. Step 2: Convert to fraction form
    437,438.28/599,727.84 = 429,466.68/x
  3. Step 3: Cross multiply
    437,438.28x = 599,727.84 × 429,466.68
  4. Step 4: Simplify right side
    437,438.28x = 257,563,124,348.37
  5. Step 5: Solve for x
    x = 257,563,124,348.37/437,438.28
  6. Step 6: Final answer
    x = 588,798.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.