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Finding the Fourth Proportional to 585,097.92, 877,680.96 and 164,406.72

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Solution

The fourth proportional to 585,097.92, 877,680.96 and 164,406.72 is: 246,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,097.92 : 877,680.96 = 164,406.72 : x
  2. Step 2: Convert to fraction form
    585,097.92/877,680.96 = 164,406.72/x
  3. Step 3: Cross multiply
    585,097.92x = 877,680.96 × 164,406.72
  4. Step 4: Simplify right side
    585,097.92x = 144,296,647,840.05
  5. Step 5: Solve for x
    x = 144,296,647,840.05/585,097.92
  6. Step 6: Final answer
    x = 246,619.66

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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.