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Finding the Fourth Proportional to 412,237.79, 569,166.32 and 257,425.60

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Solution

The fourth proportional to 412,237.79, 569,166.32 and 257,425.60 is: 355,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,237.79 : 569,166.32 = 257,425.60 : x
  2. Step 2: Convert to fraction form
    412,237.79/569,166.32 = 257,425.60/x
  3. Step 3: Cross multiply
    412,237.79x = 569,166.32 × 257,425.60
  4. Step 4: Simplify right side
    412,237.79x = 146,517,981,425.79
  5. Step 5: Solve for x
    x = 146,517,981,425.79/412,237.79
  6. Step 6: Final answer
    x = 355,421.03

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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.