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Finding the Fourth Proportional to 461,657.80, 692,313.90 and 162,022.60

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Solution

The fourth proportional to 461,657.80, 692,313.90 and 162,022.60 is: 242,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,657.80 : 692,313.90 = 162,022.60 : x
  2. Step 2: Convert to fraction form
    461,657.80/692,313.90 = 162,022.60/x
  3. Step 3: Cross multiply
    461,657.80x = 692,313.90 × 162,022.60
  4. Step 4: Simplify right side
    461,657.80x = 112,170,498,094.14
  5. Step 5: Solve for x
    x = 112,170,498,094.14/461,657.80
  6. Step 6: Final answer
    x = 242,973.25

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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.