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Finding the Fourth Proportional to 458,226.78, 632,367.45 and 264,630.98

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Solution

The fourth proportional to 458,226.78, 632,367.45 and 264,630.98 is: 365,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,226.78 : 632,367.45 = 264,630.98 : x
  2. Step 2: Convert to fraction form
    458,226.78/632,367.45 = 264,630.98/x
  3. Step 3: Cross multiply
    458,226.78x = 632,367.45 × 264,630.98
  4. Step 4: Simplify right side
    458,226.78x = 167,344,018,013.60
  5. Step 5: Solve for x
    x = 167,344,018,013.60/458,226.78
  6. Step 6: Final answer
    x = 365,199.12

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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.