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Finding the Fourth Proportional to 382,922.98, 574,384.47 and 102,432.94

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Solution

The fourth proportional to 382,922.98, 574,384.47 and 102,432.94 is: 153,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,922.98 : 574,384.47 = 102,432.94 : x
  2. Step 2: Convert to fraction form
    382,922.98/574,384.47 = 102,432.94/x
  3. Step 3: Cross multiply
    382,922.98x = 574,384.47 × 102,432.94
  4. Step 4: Simplify right side
    382,922.98x = 58,835,888,132.36
  5. Step 5: Solve for x
    x = 58,835,888,132.36/382,922.98
  6. Step 6: Final answer
    x = 153,649.41

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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.