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Finding the Fourth Proportional to 447,676.12, 671,492.31 and 167,171.50

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Solution

The fourth proportional to 447,676.12, 671,492.31 and 167,171.50 is: 250,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,676.12 : 671,492.31 = 167,171.50 : x
  2. Step 2: Convert to fraction form
    447,676.12/671,492.31 = 167,171.50/x
  3. Step 3: Cross multiply
    447,676.12x = 671,492.31 × 167,171.50
  4. Step 4: Simplify right side
    447,676.12x = 112,254,376,701.17
  5. Step 5: Solve for x
    x = 112,254,376,701.17/447,676.12
  6. Step 6: Final answer
    x = 250,749.08

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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.