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Finding the Fourth Proportional to 411,326.21, 617,002.96 and 141,451.68

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Solution

The fourth proportional to 411,326.21, 617,002.96 and 141,451.68 is: 212,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,326.21 : 617,002.96 = 141,451.68 : x
  2. Step 2: Convert to fraction form
    411,326.21/617,002.96 = 141,451.68/x
  3. Step 3: Cross multiply
    411,326.21x = 617,002.96 × 141,451.68
  4. Step 4: Simplify right side
    411,326.21x = 87,276,104,903.34
  5. Step 5: Solve for x
    x = 87,276,104,903.34/411,326.21
  6. Step 6: Final answer
    x = 212,182.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.