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Finding the Fourth Proportional to 531,221.49, 733,001.81 and 298,602.54

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Solution

The fourth proportional to 531,221.49, 733,001.81 and 298,602.54 is: 412,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,221.49 : 733,001.81 = 298,602.54 : x
  2. Step 2: Convert to fraction form
    531,221.49/733,001.81 = 298,602.54/x
  3. Step 3: Cross multiply
    531,221.49x = 733,001.81 × 298,602.54
  4. Step 4: Simplify right side
    531,221.49x = 218,876,200,797.59
  5. Step 5: Solve for x
    x = 218,876,200,797.59/531,221.49
  6. Step 6: Final answer
    x = 412,024.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.