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Finding the Fourth Proportional to 432,013.50, 647,954.52 and 165,899.34

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Solution

The fourth proportional to 432,013.50, 647,954.52 and 165,899.34 is: 248,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,013.50 : 647,954.52 = 165,899.34 : x
  2. Step 2: Convert to fraction form
    432,013.50/647,954.52 = 165,899.34/x
  3. Step 3: Cross multiply
    432,013.50x = 647,954.52 × 165,899.34
  4. Step 4: Simplify right side
    432,013.50x = 107,495,227,218.02
  5. Step 5: Solve for x
    x = 107,495,227,218.02/432,013.50
  6. Step 6: Final answer
    x = 248,823.77

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1.5x scale

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.