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Finding the Fourth Proportional to 461,761.24, 692,711.10 and 162,189.01

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Solution

The fourth proportional to 461,761.24, 692,711.10 and 162,189.01 is: 243,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,761.24 : 692,711.10 = 162,189.01 : x
  2. Step 2: Convert to fraction form
    461,761.24/692,711.10 = 162,189.01/x
  3. Step 3: Cross multiply
    461,761.24x = 692,711.10 × 162,189.01
  4. Step 4: Simplify right side
    461,761.24x = 112,350,127,525.01
  5. Step 5: Solve for x
    x = 112,350,127,525.01/461,761.24
  6. Step 6: Final answer
    x = 243,307.83

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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.