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Finding the Fourth Proportional to 531,819, 797,735.45 and 176,833.02

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Solution

The fourth proportional to 531,819, 797,735.45 and 176,833.02 is: 265,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,819 : 797,735.45 = 176,833.02 : x
  2. Step 2: Convert to fraction form
    531,819/797,735.45 = 176,833.02/x
  3. Step 3: Cross multiply
    531,819x = 797,735.45 × 176,833.02
  4. Step 4: Simplify right side
    531,819x = 141,065,967,900.39
  5. Step 5: Solve for x
    x = 141,065,967,900.39/531,819
  6. Step 6: Final answer
    x = 265,251.84

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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.