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Finding the Fourth Proportional to 509,930.02, 703,673.49 and 295,054.84

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Solution

The fourth proportional to 509,930.02, 703,673.49 and 295,054.84 is: 407,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,930.02 : 703,673.49 = 295,054.84 : x
  2. Step 2: Convert to fraction form
    509,930.02/703,673.49 = 295,054.84/x
  3. Step 3: Cross multiply
    509,930.02x = 703,673.49 × 295,054.84
  4. Step 4: Simplify right side
    509,930.02x = 207,622,269,004.19
  5. Step 5: Solve for x
    x = 207,622,269,004.19/509,930.02
  6. Step 6: Final answer
    x = 407,158.36

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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.