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Finding the Fourth Proportional to 531,228, 796,998.06 and 157,260.72

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Solution

The fourth proportional to 531,228, 796,998.06 and 157,260.72 is: 235,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,228 : 796,998.06 = 157,260.72 : x
  2. Step 2: Convert to fraction form
    531,228/796,998.06 = 157,260.72/x
  3. Step 3: Cross multiply
    531,228x = 796,998.06 × 157,260.72
  4. Step 4: Simplify right side
    531,228x = 125,336,488,754.20
  5. Step 5: Solve for x
    x = 125,336,488,754.20/531,228
  6. Step 6: Final answer
    x = 235,937.28

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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.