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Finding the Fourth Proportional to 398,591.86, 597,785.64 and 118,043.50

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Solution

The fourth proportional to 398,591.86, 597,785.64 and 118,043.50 is: 177,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,591.86 : 597,785.64 = 118,043.50 : x
  2. Step 2: Convert to fraction form
    398,591.86/597,785.64 = 118,043.50/x
  3. Step 3: Cross multiply
    398,591.86x = 597,785.64 × 118,043.50
  4. Step 4: Simplify right side
    398,591.86x = 70,564,709,195.34
  5. Step 5: Solve for x
    x = 70,564,709,195.34/398,591.86
  6. Step 6: Final answer
    x = 177,035.00

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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.