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Finding the Fourth Proportional to 557,615.40, 782,236.20 and 557,615.40

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Solution

The fourth proportional to 557,615.40, 782,236.20 and 557,615.40 is: 782,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,615.40 : 782,236.20 = 557,615.40 : x
  2. Step 2: Convert to fraction form
    557,615.40/782,236.20 = 557,615.40/x
  3. Step 3: Cross multiply
    557,615.40x = 782,236.20 × 557,615.40
  4. Step 4: Simplify right side
    557,615.40x = 436,186,951,557.48
  5. Step 5: Solve for x
    x = 436,186,951,557.48/557,615.40
  6. Step 6: Final answer
    x = 782,236.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.