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Finding the Fourth Proportional to 829,782.98, 1,244,159 and 349,763.82

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Solution

The fourth proportional to 829,782.98, 1,244,159 and 349,763.82 is: 524,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,782.98 : 1,244,159 = 349,763.82 : x
  2. Step 2: Convert to fraction form
    829,782.98/1,244,159 = 349,763.82/x
  3. Step 3: Cross multiply
    829,782.98x = 1,244,159 × 349,763.82
  4. Step 4: Simplify right side
    829,782.98x = 435,161,804,527.38
  5. Step 5: Solve for x
    x = 435,161,804,527.38/829,782.98
  6. Step 6: Final answer
    x = 524,428.45

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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.