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Finding the Fourth Proportional to 432,040.34, 648,182.64 and 147,792.44

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Solution

The fourth proportional to 432,040.34, 648,182.64 and 147,792.44 is: 221,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,040.34 : 648,182.64 = 147,792.44 : x
  2. Step 2: Convert to fraction form
    432,040.34/648,182.64 = 147,792.44/x
  3. Step 3: Cross multiply
    432,040.34x = 648,182.64 × 147,792.44
  4. Step 4: Simplify right side
    432,040.34x = 95,796,493,931.24
  5. Step 5: Solve for x
    x = 95,796,493,931.24/432,040.34
  6. Step 6: Final answer
    x = 221,730.44

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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.