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Finding the Fourth Proportional to 291,792.91, 402,677.29 and 164,468.51

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Solution

The fourth proportional to 291,792.91, 402,677.29 and 164,468.51 is: 226,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,792.91 : 402,677.29 = 164,468.51 : x
  2. Step 2: Convert to fraction form
    291,792.91/402,677.29 = 164,468.51/x
  3. Step 3: Cross multiply
    291,792.91x = 402,677.29 × 164,468.51
  4. Step 4: Simplify right side
    291,792.91x = 66,227,733,074.80
  5. Step 5: Solve for x
    x = 66,227,733,074.80/291,792.91
  6. Step 6: Final answer
    x = 226,968.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.