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Finding the Fourth Proportional to 531,728.92, 733,937.66 and 302,409.82

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Solution

The fourth proportional to 531,728.92, 733,937.66 and 302,409.82 is: 417,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,728.92 : 733,937.66 = 302,409.82 : x
  2. Step 2: Convert to fraction form
    531,728.92/733,937.66 = 302,409.82/x
  3. Step 3: Cross multiply
    531,728.92x = 733,937.66 × 302,409.82
  4. Step 4: Simplify right side
    531,728.92x = 221,949,955,651.82
  5. Step 5: Solve for x
    x = 221,949,955,651.82/531,728.92
  6. Step 6: Final answer
    x = 417,411.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.