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Finding the Fourth Proportional to 531,007.86, 796,216.52 and 175,828.14

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Solution

The fourth proportional to 531,007.86, 796,216.52 and 175,828.14 is: 263,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,007.86 : 796,216.52 = 175,828.14 : x
  2. Step 2: Convert to fraction form
    531,007.86/796,216.52 = 175,828.14/x
  3. Step 3: Cross multiply
    531,007.86x = 796,216.52 × 175,828.14
  4. Step 4: Simplify right side
    531,007.86x = 139,997,269,748.87
  5. Step 5: Solve for x
    x = 139,997,269,748.87/531,007.86
  6. Step 6: Final answer
    x = 263,644.44

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1.5x scale

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.