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Finding the Fourth Proportional to 462,456.50, 693,685.02 and 130,032.50

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Solution

The fourth proportional to 462,456.50, 693,685.02 and 130,032.50 is: 195,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,456.50 : 693,685.02 = 130,032.50 : x
  2. Step 2: Convert to fraction form
    462,456.50/693,685.02 = 130,032.50/x
  3. Step 3: Cross multiply
    462,456.50x = 693,685.02 × 130,032.50
  4. Step 4: Simplify right side
    462,456.50x = 90,201,597,363.15
  5. Step 5: Solve for x
    x = 90,201,597,363.15/462,456.50
  6. Step 6: Final answer
    x = 195,048.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.