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Finding the Fourth Proportional to 531,112.68, 796,904.50 and 278,333.07

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Solution

The fourth proportional to 531,112.68, 796,904.50 and 278,333.07 is: 417,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,112.68 : 796,904.50 = 278,333.07 : x
  2. Step 2: Convert to fraction form
    531,112.68/796,904.50 = 278,333.07/x
  3. Step 3: Cross multiply
    531,112.68x = 796,904.50 × 278,333.07
  4. Step 4: Simplify right side
    531,112.68x = 221,804,879,205.51
  5. Step 5: Solve for x
    x = 221,804,879,205.51/531,112.68
  6. Step 6: Final answer
    x = 417,623.01

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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.