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Finding the Fourth Proportional to 461,820.45, 692,769.96 and 162,275.16

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Solution

The fourth proportional to 461,820.45, 692,769.96 and 162,275.16 is: 243,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,820.45 : 692,769.96 = 162,275.16 : x
  2. Step 2: Convert to fraction form
    461,820.45/692,769.96 = 162,275.16/x
  3. Step 3: Cross multiply
    461,820.45x = 692,769.96 × 162,275.16
  4. Step 4: Simplify right side
    461,820.45x = 112,419,356,102.19
  5. Step 5: Solve for x
    x = 112,419,356,102.19/461,820.45
  6. Step 6: Final answer
    x = 243,426.54

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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.