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Finding the Fourth Proportional to 464,767.40, 697,136.70 and 132,343.40

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Solution

The fourth proportional to 464,767.40, 697,136.70 and 132,343.40 is: 198,511.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,767.40 : 697,136.70 = 132,343.40 : x
  2. Step 2: Convert to fraction form
    464,767.40/697,136.70 = 132,343.40/x
  3. Step 3: Cross multiply
    464,767.40x = 697,136.70 × 132,343.40
  4. Step 4: Simplify right side
    464,767.40x = 92,261,441,142.78
  5. Step 5: Solve for x
    x = 92,261,441,142.78/464,767.40
  6. Step 6: Final answer
    x = 198,511.00

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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.