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Finding the Fourth Proportional to 546,977.64, 820,562.76 and 187,063.88

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Solution

The fourth proportional to 546,977.64, 820,562.76 and 187,063.88 is: 280,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,977.64 : 820,562.76 = 187,063.88 : x
  2. Step 2: Convert to fraction form
    546,977.64/820,562.76 = 187,063.88/x
  3. Step 3: Cross multiply
    546,977.64x = 820,562.76 × 187,063.88
  4. Step 4: Simplify right side
    546,977.64x = 153,497,653,669.11
  5. Step 5: Solve for x
    x = 153,497,653,669.11/546,977.64
  6. Step 6: Final answer
    x = 280,628.75

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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.