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Finding the Fourth Proportional to 503,859.24, 756,030.85 and 314,270.94

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Solution

The fourth proportional to 503,859.24, 756,030.85 and 314,270.94 is: 471,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,859.24 : 756,030.85 = 314,270.94 : x
  2. Step 2: Convert to fraction form
    503,859.24/756,030.85 = 314,270.94/x
  3. Step 3: Cross multiply
    503,859.24x = 756,030.85 × 314,270.94
  4. Step 4: Simplify right side
    503,859.24x = 237,598,525,112.82
  5. Step 5: Solve for x
    x = 237,598,525,112.82/503,859.24
  6. Step 6: Final answer
    x = 471,557.34

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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.