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Finding the Fourth Proportional to 432,315.84, 648,449.28 and 116,748.96

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Solution

The fourth proportional to 432,315.84, 648,449.28 and 116,748.96 is: 175,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,315.84 : 648,449.28 = 116,748.96 : x
  2. Step 2: Convert to fraction form
    432,315.84/648,449.28 = 116,748.96/x
  3. Step 3: Cross multiply
    432,315.84x = 648,449.28 × 116,748.96
  4. Step 4: Simplify right side
    432,315.84x = 75,705,779,052.75
  5. Step 5: Solve for x
    x = 75,705,779,052.75/432,315.84
  6. Step 6: Final answer
    x = 175,116.83

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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.