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Finding the Fourth Proportional to 432,602.57, 648,978.58 and 192,801.67

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Solution

The fourth proportional to 432,602.57, 648,978.58 and 192,801.67 is: 289,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,602.57 : 648,978.58 = 192,801.67 : x
  2. Step 2: Convert to fraction form
    432,602.57/648,978.58 = 192,801.67/x
  3. Step 3: Cross multiply
    432,602.57x = 648,978.58 × 192,801.67
  4. Step 4: Simplify right side
    432,602.57x = 125,124,154,018.23
  5. Step 5: Solve for x
    x = 125,124,154,018.23/432,602.57
  6. Step 6: Final answer
    x = 289,235.81

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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.