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Finding the Fourth Proportional to 461,672.35, 692,473.94 and 162,155.56

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Solution

The fourth proportional to 461,672.35, 692,473.94 and 162,155.56 is: 243,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,672.35 : 692,473.94 = 162,155.56 : x
  2. Step 2: Convert to fraction form
    461,672.35/692,473.94 = 162,155.56/x
  3. Step 3: Cross multiply
    461,672.35x = 692,473.94 × 162,155.56
  4. Step 4: Simplify right side
    461,672.35x = 112,288,499,526.11
  5. Step 5: Solve for x
    x = 112,288,499,526.11/461,672.35
  6. Step 6: Final answer
    x = 243,221.19

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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.