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Finding the Fourth Proportional to 461,673.80, 692,423.22 and 162,083.96

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Solution

The fourth proportional to 461,673.80, 692,423.22 and 162,083.96 is: 243,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,673.80 : 692,423.22 = 162,083.96 : x
  2. Step 2: Convert to fraction form
    461,673.80/692,423.22 = 162,083.96/x
  3. Step 3: Cross multiply
    461,673.80x = 692,423.22 × 162,083.96
  4. Step 4: Simplify right side
    461,673.80x = 112,230,697,493.55
  5. Step 5: Solve for x
    x = 112,230,697,493.55/461,673.80
  6. Step 6: Final answer
    x = 243,095.23

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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.