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Finding the Fourth Proportional to 461,627.76, 692,334.72 and 146,025.84

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Solution

The fourth proportional to 461,627.76, 692,334.72 and 146,025.84 is: 219,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,627.76 : 692,334.72 = 146,025.84 : x
  2. Step 2: Convert to fraction form
    461,627.76/692,334.72 = 146,025.84/x
  3. Step 3: Cross multiply
    461,627.76x = 692,334.72 × 146,025.84
  4. Step 4: Simplify right side
    461,627.76x = 101,098,759,049.17
  5. Step 5: Solve for x
    x = 101,098,759,049.17/461,627.76
  6. Step 6: Final answer
    x = 219,004.94

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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.