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Finding the Fourth Proportional to 509,814.70, 703,345.17 and 291,906.92

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Solution

The fourth proportional to 509,814.70, 703,345.17 and 291,906.92 is: 402,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,814.70 : 703,345.17 = 291,906.92 : x
  2. Step 2: Convert to fraction form
    509,814.70/703,345.17 = 291,906.92/x
  3. Step 3: Cross multiply
    509,814.70x = 703,345.17 × 291,906.92
  4. Step 4: Simplify right side
    509,814.70x = 205,311,325,274.00
  5. Step 5: Solve for x
    x = 205,311,325,274.00/509,814.70
  6. Step 6: Final answer
    x = 402,717.55

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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.