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Finding the Fourth Proportional to 464,991.50, 697,493.73 and 132,567.50

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Solution

The fourth proportional to 464,991.50, 697,493.73 and 132,567.50 is: 198,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,991.50 : 697,493.73 = 132,567.50 : x
  2. Step 2: Convert to fraction form
    464,991.50/697,493.73 = 132,567.50/x
  3. Step 3: Cross multiply
    464,991.50x = 697,493.73 × 132,567.50
  4. Step 4: Simplify right side
    464,991.50x = 92,465,000,051.78
  5. Step 5: Solve for x
    x = 92,465,000,051.78/464,991.50
  6. Step 6: Final answer
    x = 198,853.10

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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.