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Finding the Fourth Proportional to 556,732.14, 834,689.25 and 177,434.61

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Solution

The fourth proportional to 556,732.14, 834,689.25 and 177,434.61 is: 266,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,732.14 : 834,689.25 = 177,434.61 : x
  2. Step 2: Convert to fraction form
    556,732.14/834,689.25 = 177,434.61/x
  3. Step 3: Cross multiply
    556,732.14x = 834,689.25 × 177,434.61
  4. Step 4: Simplify right side
    556,732.14x = 148,102,761,544.94
  5. Step 5: Solve for x
    x = 148,102,761,544.94/556,732.14
  6. Step 6: Final answer
    x = 266,021.58

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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.