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Finding the Fourth Proportional to 432,582, 648,873 and 137,094

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Solution

The fourth proportional to 432,582, 648,873 and 137,094 is: 205,641

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,582 : 648,873 = 137,094 : x
  2. Step 2: Convert to fraction form
    432,582/648,873 = 137,094/x
  3. Step 3: Cross multiply
    432,582x = 648,873 × 137,094
  4. Step 4: Simplify right side
    432,582x = 88,956,595,062
  5. Step 5: Solve for x
    x = 88,956,595,062/432,582
  6. Step 6: Final answer
    x = 205,641

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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.