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Finding the Fourth Proportional to 585,305.34, 877,958.32 and 164,581.22

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Solution

The fourth proportional to 585,305.34, 877,958.32 and 164,581.22 is: 246,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,305.34 : 877,958.32 = 164,581.22 : x
  2. Step 2: Convert to fraction form
    585,305.34/877,958.32 = 164,581.22/x
  3. Step 3: Cross multiply
    585,305.34x = 877,958.32 × 164,581.22
  4. Step 4: Simplify right side
    585,305.34x = 144,495,451,414.75
  5. Step 5: Solve for x
    x = 144,495,451,414.75/585,305.34
  6. Step 6: Final answer
    x = 246,871.92

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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.