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Finding the Fourth Proportional to 296,506.41, 444,440.53 and 128,106.46

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Solution

The fourth proportional to 296,506.41, 444,440.53 and 128,106.46 is: 192,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,506.41 : 444,440.53 = 128,106.46 : x
  2. Step 2: Convert to fraction form
    296,506.41/444,440.53 = 128,106.46/x
  3. Step 3: Cross multiply
    296,506.41x = 444,440.53 × 128,106.46
  4. Step 4: Simplify right side
    296,506.41x = 56,935,702,978.82
  5. Step 5: Solve for x
    x = 56,935,702,978.82/296,506.41
  6. Step 6: Final answer
    x = 192,021.83

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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.