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Finding the Fourth Proportional to 291,792.66, 402,676.94 and 164,468.26

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Solution

The fourth proportional to 291,792.66, 402,676.94 and 164,468.26 is: 226,967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,792.66 : 402,676.94 = 164,468.26 : x
  2. Step 2: Convert to fraction form
    291,792.66/402,676.94 = 164,468.26/x
  3. Step 3: Cross multiply
    291,792.66x = 402,676.94 × 164,468.26
  4. Step 4: Simplify right side
    291,792.66x = 66,227,575,663.92
  5. Step 5: Solve for x
    x = 66,227,575,663.92/291,792.66
  6. Step 6: Final answer
    x = 226,967.93

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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.