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Finding the Fourth Proportional to 458,861.62, 633,237.34 and 257,664.82

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Solution

The fourth proportional to 458,861.62, 633,237.34 and 257,664.82 is: 355,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,861.62 : 633,237.34 = 257,664.82 : x
  2. Step 2: Convert to fraction form
    458,861.62/633,237.34 = 257,664.82/x
  3. Step 3: Cross multiply
    458,861.62x = 633,237.34 × 257,664.82
  4. Step 4: Simplify right side
    458,861.62x = 163,162,985,228.38
  5. Step 5: Solve for x
    x = 163,162,985,228.38/458,861.62
  6. Step 6: Final answer
    x = 355,582.11

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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.