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Finding the Fourth Proportional to 474,615.13, 712,089.15 and 137,676.00

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Solution

The fourth proportional to 474,615.13, 712,089.15 and 137,676.00 is: 206,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,615.13 : 712,089.15 = 137,676.00 : x
  2. Step 2: Convert to fraction form
    474,615.13/712,089.15 = 137,676.00/x
  3. Step 3: Cross multiply
    474,615.13x = 712,089.15 × 137,676.00
  4. Step 4: Simplify right side
    474,615.13x = 98,037,584,379.37
  5. Step 5: Solve for x
    x = 98,037,584,379.37/474,615.13
  6. Step 6: Final answer
    x = 206,562.28

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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.