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Finding the Fourth Proportional to 432,176.84, 648,216.74 and 165,750.44

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Solution

The fourth proportional to 432,176.84, 648,216.74 and 165,750.44 is: 248,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,176.84 : 648,216.74 = 165,750.44 : x
  2. Step 2: Convert to fraction form
    432,176.84/648,216.74 = 165,750.44/x
  3. Step 3: Cross multiply
    432,176.84x = 648,216.74 × 165,750.44
  4. Step 4: Simplify right side
    432,176.84x = 107,442,209,870.37
  5. Step 5: Solve for x
    x = 107,442,209,870.37/432,176.84
  6. Step 6: Final answer
    x = 248,607.05

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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.