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Finding the Fourth Proportional to 546,648.35, 820,068.71 and 186,734.57

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Solution

The fourth proportional to 546,648.35, 820,068.71 and 186,734.57 is: 280,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,648.35 : 820,068.71 = 186,734.57 : x
  2. Step 2: Convert to fraction form
    546,648.35/820,068.71 = 186,734.57/x
  3. Step 3: Cross multiply
    546,648.35x = 820,068.71 × 186,734.57
  4. Step 4: Simplify right side
    546,648.35x = 153,135,172,898.29
  5. Step 5: Solve for x
    x = 153,135,172,898.29/546,648.35
  6. Step 6: Final answer
    x = 280,134.71

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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.