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Finding the Fourth Proportional to 531,815, 797,729.45 and 176,829.02

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Solution

The fourth proportional to 531,815, 797,729.45 and 176,829.02 is: 265,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,815 : 797,729.45 = 176,829.02 : x
  2. Step 2: Convert to fraction form
    531,815/797,729.45 = 176,829.02/x
  3. Step 3: Cross multiply
    531,815x = 797,729.45 × 176,829.02
  4. Step 4: Simplify right side
    531,815x = 141,061,711,995.85
  5. Step 5: Solve for x
    x = 141,061,711,995.85/531,815
  6. Step 6: Final answer
    x = 265,245.83

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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.