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Finding the Fourth Proportional to 471,412.84, 707,207.28 and 156,091.72

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Solution

The fourth proportional to 471,412.84, 707,207.28 and 156,091.72 is: 234,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,412.84 : 707,207.28 = 156,091.72 : x
  2. Step 2: Convert to fraction form
    471,412.84/707,207.28 = 156,091.72/x
  3. Step 3: Cross multiply
    471,412.84x = 707,207.28 × 156,091.72
  4. Step 4: Simplify right side
    471,412.84x = 110,389,200,731.72
  5. Step 5: Solve for x
    x = 110,389,200,731.72/471,412.84
  6. Step 6: Final answer
    x = 234,166.72

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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.