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Finding the Fourth Proportional to 461,562.89, 692,399.62 and 141,672.86

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Solution

The fourth proportional to 461,562.89, 692,399.62 and 141,672.86 is: 212,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,562.89 : 692,399.62 = 141,672.86 : x
  2. Step 2: Convert to fraction form
    461,562.89/692,399.62 = 141,672.86/x
  3. Step 3: Cross multiply
    461,562.89x = 692,399.62 × 141,672.86
  4. Step 4: Simplify right side
    461,562.89x = 98,094,236,336.40
  5. Step 5: Solve for x
    x = 98,094,236,336.40/461,562.89
  6. Step 6: Final answer
    x = 212,526.26

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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.