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Finding the Fourth Proportional to 458,595.88, 632,827.62 and 257,353

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Solution

The fourth proportional to 458,595.88, 632,827.62 and 257,353 is: 355,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,595.88 : 632,827.62 = 257,353 : x
  2. Step 2: Convert to fraction form
    458,595.88/632,827.62 = 257,353/x
  3. Step 3: Cross multiply
    458,595.88x = 632,827.62 × 257,353
  4. Step 4: Simplify right side
    458,595.88x = 162,860,086,489.86
  5. Step 5: Solve for x
    x = 162,860,086,489.86/458,595.88
  6. Step 6: Final answer
    x = 355,127.67

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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.