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Finding the Fourth Proportional to 461,674.30, 692,423.96 and 162,084.46

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Solution

The fourth proportional to 461,674.30, 692,423.96 and 162,084.46 is: 243,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,674.30 : 692,423.96 = 162,084.46 : x
  2. Step 2: Convert to fraction form
    461,674.30/692,423.96 = 162,084.46/x
  3. Step 3: Cross multiply
    461,674.30x = 692,423.96 × 162,084.46
  4. Step 4: Simplify right side
    461,674.30x = 112,231,163,647.66
  5. Step 5: Solve for x
    x = 112,231,163,647.66/461,674.30
  6. Step 6: Final answer
    x = 243,095.97

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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.