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Finding the Fourth Proportional to 531,005.69, 796,213.26 and 175,825.96

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Solution

The fourth proportional to 531,005.69, 796,213.26 and 175,825.96 is: 263,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,005.69 : 796,213.26 = 175,825.96 : x
  2. Step 2: Convert to fraction form
    531,005.69/796,213.26 = 175,825.96/x
  3. Step 3: Cross multiply
    531,005.69x = 796,213.26 × 175,825.96
  4. Step 4: Simplify right side
    531,005.69x = 139,994,956,383.60
  5. Step 5: Solve for x
    x = 139,994,956,383.60/531,005.69
  6. Step 6: Final answer
    x = 263,641.16

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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.