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Finding the Fourth Proportional to 461,710.80, 692,478.72 and 162,120.96

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Solution

The fourth proportional to 461,710.80, 692,478.72 and 162,120.96 is: 243,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,710.80 : 692,478.72 = 162,120.96 : x
  2. Step 2: Convert to fraction form
    461,710.80/692,478.72 = 162,120.96/x
  3. Step 3: Cross multiply
    461,710.80x = 692,478.72 × 162,120.96
  4. Step 4: Simplify right side
    461,710.80x = 112,265,314,865.97
  5. Step 5: Solve for x
    x = 112,265,314,865.97/461,710.80
  6. Step 6: Final answer
    x = 243,150.72

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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.