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Finding the Fourth Proportional to 561,069.24, 774,276.43 and 319,351.82

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Solution

The fourth proportional to 561,069.24, 774,276.43 and 319,351.82 is: 440,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,069.24 : 774,276.43 = 319,351.82 : x
  2. Step 2: Convert to fraction form
    561,069.24/774,276.43 = 319,351.82/x
  3. Step 3: Cross multiply
    561,069.24x = 774,276.43 × 319,351.82
  4. Step 4: Simplify right side
    561,069.24x = 247,266,585,506.84
  5. Step 5: Solve for x
    x = 247,266,585,506.84/561,069.24
  6. Step 6: Final answer
    x = 440,706.01

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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.