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Finding the Fourth Proportional to 462,311.58, 693,270.54 and 181,632

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Solution

The fourth proportional to 462,311.58, 693,270.54 and 181,632 is: 272,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,311.58 : 693,270.54 = 181,632 : x
  2. Step 2: Convert to fraction form
    462,311.58/693,270.54 = 181,632/x
  3. Step 3: Cross multiply
    462,311.58x = 693,270.54 × 181,632
  4. Step 4: Simplify right side
    462,311.58x = 125,920,114,721.28
  5. Step 5: Solve for x
    x = 125,920,114,721.28/462,311.58
  6. Step 6: Final answer
    x = 272,370.67

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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.