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Finding the Fourth Proportional to 474,813.14, 712,289.88 and 137,810.12

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Solution

The fourth proportional to 474,813.14, 712,289.88 and 137,810.12 is: 206,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,813.14 : 712,289.88 = 137,810.12 : x
  2. Step 2: Convert to fraction form
    474,813.14/712,289.88 = 137,810.12/x
  3. Step 3: Cross multiply
    474,813.14x = 712,289.88 × 137,810.12
  4. Step 4: Simplify right side
    474,813.14x = 98,160,750,276.14
  5. Step 5: Solve for x
    x = 98,160,750,276.14/474,813.14
  6. Step 6: Final answer
    x = 206,735.54

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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.