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Finding the Fourth Proportional to 294,792.79, 406,828.47 and 165,771.87

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Solution

The fourth proportional to 294,792.79, 406,828.47 and 165,771.87 is: 228,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,792.79 : 406,828.47 = 165,771.87 : x
  2. Step 2: Convert to fraction form
    294,792.79/406,828.47 = 165,771.87/x
  3. Step 3: Cross multiply
    294,792.79x = 406,828.47 × 165,771.87
  4. Step 4: Simplify right side
    294,792.79x = 67,440,714,207.00
  5. Step 5: Solve for x
    x = 67,440,714,207.00/294,792.79
  6. Step 6: Final answer
    x = 228,773.28

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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.