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Finding the Fourth Proportional to 458,299.88, 632,312.10 and 267,177.98

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Solution

The fourth proportional to 458,299.88, 632,312.10 and 267,177.98 is: 368,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,299.88 : 632,312.10 = 267,177.98 : x
  2. Step 2: Convert to fraction form
    458,299.88/632,312.10 = 267,177.98/x
  3. Step 3: Cross multiply
    458,299.88x = 632,312.10 × 267,177.98
  4. Step 4: Simplify right side
    458,299.88x = 168,939,869,607.56
  5. Step 5: Solve for x
    x = 168,939,869,607.56/458,299.88
  6. Step 6: Final answer
    x = 368,622.98

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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.