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Finding the Fourth Proportional to 546,864.14, 820,423.79 and 187,037.78

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Solution

The fourth proportional to 546,864.14, 820,423.79 and 187,037.78 is: 280,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,864.14 : 820,423.79 = 187,037.78 : x
  2. Step 2: Convert to fraction form
    546,864.14/820,423.79 = 187,037.78/x
  3. Step 3: Cross multiply
    546,864.14x = 820,423.79 × 187,037.78
  4. Step 4: Simplify right side
    546,864.14x = 153,450,239,303.48
  5. Step 5: Solve for x
    x = 153,450,239,303.48/546,864.14
  6. Step 6: Final answer
    x = 280,600.30

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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.