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Finding the Fourth Proportional to 461,696.80, 692,372.40 and 162,061.60

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Solution

The fourth proportional to 461,696.80, 692,372.40 and 162,061.60 is: 243,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,696.80 : 692,372.40 = 162,061.60 : x
  2. Step 2: Convert to fraction form
    461,696.80/692,372.40 = 162,061.60/x
  3. Step 3: Cross multiply
    461,696.80x = 692,372.40 × 162,061.60
  4. Step 4: Simplify right side
    461,696.80x = 112,206,978,939.84
  5. Step 5: Solve for x
    x = 112,206,978,939.84/461,696.80
  6. Step 6: Final answer
    x = 243,031.74

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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.