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Finding the Fourth Proportional to 262,048.84, 392,672.31 and 176,342.30

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Solution

The fourth proportional to 262,048.84, 392,672.31 and 176,342.30 is: 264,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,048.84 : 392,672.31 = 176,342.30 : x
  2. Step 2: Convert to fraction form
    262,048.84/392,672.31 = 176,342.30/x
  3. Step 3: Cross multiply
    262,048.84x = 392,672.31 × 176,342.30
  4. Step 4: Simplify right side
    262,048.84x = 69,244,737,139.59
  5. Step 5: Solve for x
    x = 69,244,737,139.59/262,048.84
  6. Step 6: Final answer
    x = 264,243.63

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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.