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Finding the Fourth Proportional to 432,175.32, 648,457.38 and 274,361.40

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Solution

The fourth proportional to 432,175.32, 648,457.38 and 274,361.40 is: 411,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,175.32 : 648,457.38 = 274,361.40 : x
  2. Step 2: Convert to fraction form
    432,175.32/648,457.38 = 274,361.40/x
  3. Step 3: Cross multiply
    432,175.32x = 648,457.38 × 274,361.40
  4. Step 4: Simplify right side
    432,175.32x = 177,911,674,617.13
  5. Step 5: Solve for x
    x = 177,911,674,617.13/432,175.32
  6. Step 6: Final answer
    x = 411,665.51

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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.