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Finding the Fourth Proportional to 597,654.48, 825,570.90 and 477,636.96

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Solution

The fourth proportional to 597,654.48, 825,570.90 and 477,636.96 is: 659,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,654.48 : 825,570.90 = 477,636.96 : x
  2. Step 2: Convert to fraction form
    597,654.48/825,570.90 = 477,636.96/x
  3. Step 3: Cross multiply
    597,654.48x = 825,570.90 × 477,636.96
  4. Step 4: Simplify right side
    597,654.48x = 394,323,174,940.46
  5. Step 5: Solve for x
    x = 394,323,174,940.46/597,654.48
  6. Step 6: Final answer
    x = 659,784.52

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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.