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Finding the Fourth Proportional to 570,143.44, 855,510.26 and 413,663.48

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Solution

The fourth proportional to 570,143.44, 855,510.26 and 413,663.48 is: 620,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,143.44 : 855,510.26 = 413,663.48 : x
  2. Step 2: Convert to fraction form
    570,143.44/855,510.26 = 413,663.48/x
  3. Step 3: Cross multiply
    570,143.44x = 855,510.26 × 413,663.48
  4. Step 4: Simplify right side
    570,143.44x = 353,893,351,327.31
  5. Step 5: Solve for x
    x = 353,893,351,327.31/570,143.44
  6. Step 6: Final answer
    x = 620,709.33

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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.