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Finding the Fourth Proportional to 531,033.30, 796,254.75 and 175,853.61

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Solution

The fourth proportional to 531,033.30, 796,254.75 and 175,853.61 is: 263,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,033.30 : 796,254.75 = 175,853.61 : x
  2. Step 2: Convert to fraction form
    531,033.30/796,254.75 = 175,853.61/x
  3. Step 3: Cross multiply
    531,033.30x = 796,254.75 × 175,853.61
  4. Step 4: Simplify right side
    531,033.30x = 140,024,272,267.15
  5. Step 5: Solve for x
    x = 140,024,272,267.15/531,033.30
  6. Step 6: Final answer
    x = 263,682.66

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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.