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Finding the Fourth Proportional to 461,604.20, 692,709.05 and 162,077.06

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Solution

The fourth proportional to 461,604.20, 692,709.05 and 162,077.06 is: 243,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,604.20 : 692,709.05 = 162,077.06 : x
  2. Step 2: Convert to fraction form
    461,604.20/692,709.05 = 162,077.06/x
  3. Step 3: Cross multiply
    461,604.20x = 692,709.05 × 162,077.06
  4. Step 4: Simplify right side
    461,604.20x = 112,272,246,259.39
  5. Step 5: Solve for x
    x = 112,272,246,259.39/461,604.20
  6. Step 6: Final answer
    x = 243,221.89

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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.