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Finding the Fourth Proportional to 343,289.88, 474,127.92 and 234,206.94

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Solution

The fourth proportional to 343,289.88, 474,127.92 and 234,206.94 is: 323,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,289.88 : 474,127.92 = 234,206.94 : x
  2. Step 2: Convert to fraction form
    343,289.88/474,127.92 = 234,206.94/x
  3. Step 3: Cross multiply
    343,289.88x = 474,127.92 × 234,206.94
  4. Step 4: Simplify right side
    343,289.88x = 111,044,049,311.77
  5. Step 5: Solve for x
    x = 111,044,049,311.77/343,289.88
  6. Step 6: Final answer
    x = 323,470.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.