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Finding the Fourth Proportional to 458,594.88, 632,826.24 and 257,352

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Solution

The fourth proportional to 458,594.88, 632,826.24 and 257,352 is: 355,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,594.88 : 632,826.24 = 257,352 : x
  2. Step 2: Convert to fraction form
    458,594.88/632,826.24 = 257,352/x
  3. Step 3: Cross multiply
    458,594.88x = 632,826.24 × 257,352
  4. Step 4: Simplify right side
    458,594.88x = 162,859,098,516.48
  5. Step 5: Solve for x
    x = 162,859,098,516.48/458,594.88
  6. Step 6: Final answer
    x = 355,126.29

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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.