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Finding the Fourth Proportional to 503,858.49, 756,029.73 and 314,270.19

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Solution

The fourth proportional to 503,858.49, 756,029.73 and 314,270.19 is: 471,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,858.49 : 756,029.73 = 314,270.19 : x
  2. Step 2: Convert to fraction form
    503,858.49/756,029.73 = 314,270.19/x
  3. Step 3: Cross multiply
    503,858.49x = 756,029.73 × 314,270.19
  4. Step 4: Simplify right side
    503,858.49x = 237,597,606,482.77
  5. Step 5: Solve for x
    x = 237,597,606,482.77/503,858.49
  6. Step 6: Final answer
    x = 471,556.23

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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.