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Finding the Fourth Proportional to 424,026.70, 635,821.35 and 157,650.10

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Solution

The fourth proportional to 424,026.70, 635,821.35 and 157,650.10 is: 236,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,026.70 : 635,821.35 = 157,650.10 : x
  2. Step 2: Convert to fraction form
    424,026.70/635,821.35 = 157,650.10/x
  3. Step 3: Cross multiply
    424,026.70x = 635,821.35 × 157,650.10
  4. Step 4: Simplify right side
    424,026.70x = 100,237,299,409.64
  5. Step 5: Solve for x
    x = 100,237,299,409.64/424,026.70
  6. Step 6: Final answer
    x = 236,393.84

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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.