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Finding the Fourth Proportional to 546,944.70, 820,411.65 and 172,967.70

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Solution

The fourth proportional to 546,944.70, 820,411.65 and 172,967.70 is: 259,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,944.70 : 820,411.65 = 172,967.70 : x
  2. Step 2: Convert to fraction form
    546,944.70/820,411.65 = 172,967.70/x
  3. Step 3: Cross multiply
    546,944.70x = 820,411.65 × 172,967.70
  4. Step 4: Simplify right side
    546,944.70x = 141,904,716,153.71
  5. Step 5: Solve for x
    x = 141,904,716,153.71/546,944.70
  6. Step 6: Final answer
    x = 259,449.84

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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.