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Finding the Fourth Proportional to 461,573.14, 692,290.46 and 145,989.04

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Solution

The fourth proportional to 461,573.14, 692,290.46 and 145,989.04 is: 218,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,573.14 : 692,290.46 = 145,989.04 : x
  2. Step 2: Convert to fraction form
    461,573.14/692,290.46 = 145,989.04/x
  3. Step 3: Cross multiply
    461,573.14x = 692,290.46 × 145,989.04
  4. Step 4: Simplify right side
    461,573.14x = 101,066,819,656.56
  5. Step 5: Solve for x
    x = 101,066,819,656.56/461,573.14
  6. Step 6: Final answer
    x = 218,961.66

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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.