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Finding the Fourth Proportional to 461,529.12, 692,410.60 and 141,697.32

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Solution

The fourth proportional to 461,529.12, 692,410.60 and 141,697.32 is: 212,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,529.12 : 692,410.60 = 141,697.32 : x
  2. Step 2: Convert to fraction form
    461,529.12/692,410.60 = 141,697.32/x
  3. Step 3: Cross multiply
    461,529.12x = 692,410.60 × 141,697.32
  4. Step 4: Simplify right side
    461,529.12x = 98,112,726,359.59
  5. Step 5: Solve for x
    x = 98,112,726,359.59/461,529.12
  6. Step 6: Final answer
    x = 212,581.88

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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.