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Finding the Fourth Proportional to 531,106.76, 796,895.63 and 278,327.16

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Solution

The fourth proportional to 531,106.76, 796,895.63 and 278,327.16 is: 417,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,106.76 : 796,895.63 = 278,327.16 : x
  2. Step 2: Convert to fraction form
    531,106.76/796,895.63 = 278,327.16/x
  3. Step 3: Cross multiply
    531,106.76x = 796,895.63 × 278,327.16
  4. Step 4: Simplify right side
    531,106.76x = 221,797,696,122.68
  5. Step 5: Solve for x
    x = 221,797,696,122.68/531,106.76
  6. Step 6: Final answer
    x = 417,614.15

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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.