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Finding the Fourth Proportional to 432,240.03, 647,910.50 and 179,658

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Solution

The fourth proportional to 432,240.03, 647,910.50 and 179,658 is: 269,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,240.03 : 647,910.50 = 179,658 : x
  2. Step 2: Convert to fraction form
    432,240.03/647,910.50 = 179,658/x
  3. Step 3: Cross multiply
    432,240.03x = 647,910.50 × 179,658
  4. Step 4: Simplify right side
    432,240.03x = 116,402,303,710.71
  5. Step 5: Solve for x
    x = 116,402,303,710.71/432,240.03
  6. Step 6: Final answer
    x = 269,300.15

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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.