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Finding the Fourth Proportional to 461,647.89, 692,511.48 and 162,102.72

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Solution

The fourth proportional to 461,647.89, 692,511.48 and 162,102.72 is: 243,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,647.89 : 692,511.48 = 162,102.72 : x
  2. Step 2: Convert to fraction form
    461,647.89/692,511.48 = 162,102.72/x
  3. Step 3: Cross multiply
    461,647.89x = 692,511.48 × 162,102.72
  4. Step 4: Simplify right side
    461,647.89x = 112,257,994,539.23
  5. Step 5: Solve for x
    x = 112,257,994,539.23/461,647.89
  6. Step 6: Final answer
    x = 243,168.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.